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← Bihar Board Class 12 PYQ

Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

  1. Q1 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I
    $\int (x+2)\,dx =$
  2. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I
    $\int \frac{dx}{x-1} =$
  3. Q3 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int \cos\sqrt{x}\,dx =$
  4. Q4 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int \sin^2\frac{x}{2}\,dx =$
  5. Q5 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int \frac{\tan(\sin^{-1}x)}{\sqrt{1-x^2}}\,dx =$
  6. Q6 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B20252019 Set F
    $\int_0^1 \frac{dx}{1+x^2} =$
  7. Q7 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B
    $\int_0^1 \frac{x^3\,dx}{1+x^8} =$
  8. Q8 2026 Set A
    $\int_0^{1} x e^{x} \, dx =$
  9. Q9 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int_{-2}^{2} |x|\,dx =$
  10. Q10 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2024 Set J2024 Set D2021 Set J2021 Set I
    $\int \frac{1-\cos 2x}{1+\cos 2x}\,dx =$
  11. Q11 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int e^x\left(\tan^{-1}x + \frac{1}{1+x^2}\right)dx =$
  12. Q12 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B
    $\int_1^e \frac{(\log x)^2}{x}\,dx =$
  13. Q13 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B
    $\int_0^{\pi/4} \frac{e^{\tan x}}{\cos^2 x}\,dx =$
  14. Q14 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B2024 Set J2024 Set D2021 Set J2021 Set I2019 Set F
    $\int_0^{\pi/2} \cos^2 x\,dx =$
  15. Q15 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int_0^{2\pi} |\sin x|\,dx =$
  16. Q16 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2024 Set J2024 Set D
    $\int_0^{a} \frac{\sqrt{x}}{\sqrt{a-x}+\sqrt{x}}\,dx =$
  17. Q17 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2016
    $\int \frac{dx}{x^2+a^2} =$
  18. Q18 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I
    $\int \log x\, dx =$
  19. Q19 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int_0^1 \frac{e^{\sqrt{x}}}{\sqrt{x}}\,dx =$
  20. Q20 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int_1^4 \frac{dx}{\sqrt{x}} =$
  21. Q21 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I
    $\int \frac{\cos 2x}{(\sin x + \cos x)^2}\,dx =$
  22. Q22 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int_0^{\pi/3} \cos^3 x\, dx =$
  23. Q23 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int_0^{\pi/2} \frac{\sin x}{\sin x+\cos x}\, dx =$
  24. Q24 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set B
    $\int_{-\pi}^{\pi} \sin^5 x\, dx =$
  25. Q25 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    Integrate : $\int \sec^4 x\,dx$.
  26. Q26 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int \frac{dx}{e^{x}+e^{-x}} =$
  27. Q27 2026 Set A2026 Set H2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    Solve : $\int_1^2 \frac{\log x}{x}\,dx$.
  28. Q28 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B
    $\int_0^a \sqrt{a^2 - x^2}\,dx =$
  29. Q29 2026 Set C
    $\int_0^1 x e^{x}\,dx =$
  30. Q30 2026 Set C2026 Set D
    $\displaystyle\int_0^1 \frac{x^3\,dx}{1+x^8}=$
  31. Q31 2026 Set C2026 Set D
    $\displaystyle\int_1^e \frac{(\log x)^2}{x}\,dx=$
  32. Q32 2026 Set C2026 Set D
    $\displaystyle\int_0^{\pi/4} \frac{e^{\tan x}}{\cos^2 x}\,dx=$
  33. Q33 2026 Set C
    $\displaystyle\int_{0}^{\pi/2} \cos^2 x\,dx$
  34. Q34 2026 Set D
    $\cos^2 x\,dx$ integrated from $0$ to $\pi/2$: $\int_0^{\pi/2} \cos^2 x\, dx =$
  35. Q35 2026 Set E
    Solve: $\int_1^2\frac{\log x}{x}dx$.
  36. Q36 2026 Set H2026 Set E2026 Set F2026 Set D2026 Set J2026 Set B2025 Set A20252025 Set E2021 Set I
    $\int_0^1 x e^x\,dx =$
  37. Q37 2026 Set J2026 Set C2026 Set B2026 Set H
    Prove that $\int_0^{\pi/2} (\sqrt{\tan x} + \sqrt{\cot x})\, dx = \pi\sqrt{2}$.
  38. Q38 2026 Set J
    $\int_{-\pi}^{\pi} \sin^3 x \, dx =$
  39. Q39 2025
    $\int \dfrac{dx}{\sin^2 x \cos^2 x} =$
  40. Q40 2025
    $\int \dfrac{dx}{\sqrt{a^2-x^2}} =$
  41. Q41 2025
    $\int x^2\left(\dfrac{1}{x^2}+1\right)dx =$
  42. Q42 2025
    $\int \dfrac{5-3\sin x}{\cos^2 x}\,dx =$
  43. Q43 2025
    $\int \text{cosec}\,x\,dx =$
  44. Q44 2025
    $\int \dfrac{(7+\log x)^2}{x}\,dx$
  45. Q45 2025
    $\int 2\left(\sin^{-1}(\cos x)\right)dx =$
  46. Q46 2025
    $\int e^x\left(\dfrac{1}{\sqrt{1-x^2}} + \sin^{-1}x\right)dx =$
  47. Q47 2025
    $\int 4x\log x\,dx =$
  48. Q48 2025
    $\displaystyle\int \frac{\cos\sqrt{x}}{\sqrt{x}}\,dx =$
  49. Q49 2025
    $\int \dfrac{3x^2}{x^6+1}\,dx =$
  50. Q50 2025
    $\int \dfrac{4x+1}{\sqrt{2x^2+x-3}}\,dx =$
  51. Q51 2025
    $\int e^x[2\cos 2x+\sin 2x]\,dx =$
  52. Q52 2025
    $\int \dfrac{dx}{\sqrt{x^2+a^2}} =$
  53. Q53 2025
    $\int_{-1}^{1} \sin^7 x \cos^6 x\,dx =$
  54. Q54 2025
    $\int_0^{\pi/4} \tan x\,dx =$
  55. Q55 2025
    $\int_2^3 \frac{1}{x}\,dx =$
  56. Q56 2025
    $\int \frac{\sin^{-1}x}{\sqrt{1-x^2}}\,dx$
  57. Q57 2025
    $\int_{-\pi/2}^{\pi/2} (x^5 + x\cos x + \sin^7 x + 1)\,dx =$
  58. Q58 2025
    $\displaystyle\int \left(\dfrac{x^3-x^2+x-1}{x^2+1}\right) dx =$
  59. Q59 2025
    $\displaystyle\int e^{-7x}\, dx =$
  60. Q60 2025
    $\displaystyle\int (5x^4+2x+\sin x)\, dx =$
  61. Q61 2025
    Integrate: $\int \frac{x^2+2}{x+1}\,dx$
  62. Q62 2025
    Integrate: $\int \frac{dx}{1+\cos x}$
  63. Q63 2025
    If $\int_0^a \frac{1}{1+4x^2}\,dx = \frac{\pi}{8}$ then find the value of $a$.
  64. Q64 2025
    Integrate: $\int \frac{\sin x}{3+4\cos^2 x}\,dx$
  65. Q65 2025
    Integrate: $\int \frac{\sin^6 x+\cos^6 x}{\sin^2 x\cos^2 x}\,dx$
  66. Q66 2025
    Integrate: $\int_2^8 |x-5|\,dx$
  67. Q67 2025
    Integrate: $\int_{-\pi/4}^{\pi/4} \sin^2 x\, dx$
  68. Q68 2025
    Integrate: $\int_0^1 x\log(1+2x)\,dx$
  69. Q69 20252025 Set A2025 Set E
    $\int_0^{\pi/2} \frac{\sqrt{\cos x}}{\sqrt{\sin x}+\sqrt{\cos x}}\,dx =$
  70. Q70 2025 Set A2021 Set J2018
    $\int_\alpha^\beta \varphi(x)\,dx + \int_\beta^\alpha \varphi(x)\,dx =$
  71. Q71 2025 Set A2025 Set E
    $\int 2^{x+1}\,dx =$
  72. Q72 2025 Set A2025 Set E
    $\int \dfrac{(\sqrt{x}+1)^2}{x\sqrt{x}+2x+\sqrt{x}}\,dx =$
  73. Q73 2025 Set A2025 Set E
    $\int_{-1}^{1}\sin^{13}x\cos^{12}x\,dx =$
  74. Q74 2025 Set A2025 Set E
    $\int_0^{\pi/2} \sin x \cdot \cos x\,dx$
  75. Q75 2025 Set A2025 Set E
    $\int\frac{dx}{x^2+4}=$
  76. Q76 2025 Set A2025 Set E
    $\int \frac{\cos 2x}{\cos x+\sin x}\,dx =$
  77. Q77 2025 Set A2025 Set E
    $\int \tan(\tan^{-1}x)\,dx =$
  78. Q78 2025 Set A2025 Set E
    $\int \frac{dx}{e^{-x}} =$
  79. Q79 2025 Set A
    $\int \log x^2\,dx =$
  80. Q80 2025 Set A
    $\int (\sin 3x+4\sin^3 x)\,dx =$
  81. Q81 2025 Set A2025 Set E
    $\int_{-1}^{1}\sin^7 x\cos^{13}x\,dx =$
  82. Q82 2025 Set A2025 Set E
    $\int_{0}^{1}\frac{4\tan^{-1}x}{1+x^2}\,dx =$
  83. Q83 2025 Set A
    $\int_0^1 3x^2\,dx =$
  84. Q84 2025 Set A2025 Set E
    $\int_0^a \frac{x\,dx}{2\sqrt{a^2-x^2}} =$
  85. Q85 2025 Set A2025 Set E
    $\int_0^a \frac{dx}{\sqrt{x}} =$
  86. Q86 2025 Set A2025 Set E
    $\int_0^{\pi/2} \log\tan x\,dx =$
  87. Q87 2025 Set A
    $\int_0^1 (x + 2x + 3x^2 + 4x^3)\,dx =$
  88. Q88 2025 Set A2025 Set E
    $\int_{-1}^{1} \sin x \cdot \cos^3 x \, dx =$
  89. Q89 2025 Set A
    $100\int_{0}^{1} x^{99} \, dx =$
  90. Q90 2025 Set A
    $2\int_{1}^{9} \frac{dx}{\sqrt{x}} =$
  91. Q91 2025 Set A2025 Set E
    $\int \frac{dx}{x \log x} =$
  92. Q92 2025 Set A2025 Set E
    $\int \frac{x-3}{x^2-9} \, dx =$
  93. Q93 2025 Set A
    $\int_0^2 e^x\,dx =$
  94. Q94 2025 Set A2025 Set E
    $\int e^{2\log x}\,dx =$
  95. Q95 2025 Set A2025 Set E
    $\int x^m \cdot x^n\,dx =$
  96. Q96 2025 Set A
    $\int e^3 \cdot e^x\,dx =$
  97. Q97 2025 Set E2021 Set I
    $\int_{\alpha}^{\beta}\varphi(x)dx+\int_{\beta}^{\alpha}\varphi(x)dx =$
  98. Q98 2025 Set E
    $\int \log x^{2}\,dx =$
  99. Q99 2025 Set E
    $\int (\sin 3x + 4\sin^{3}x)\,dx =$
  100. Q100 2025 Set E
    $\int_{0}^{1}3x^{2}\,dx =$
  101. Q101 2025 Set E
    $\int e^{3}\cdot e^{x}\,dx =$
  102. Q102 2025 Set E
    $\int_{0}^{2}e^{x}\,dx =$
  103. Q103 2025 Set E
    $\int_0^1 (x+2x+3x^2+4x^3)\,dx =$
  104. Q104 2025 Set E
    $100\int_0^1 x^{99}\,dx =$
  105. Q105 2025 Set E
    $2\int_1^9 \frac{dx}{\sqrt{x}} =$
  106. Q106 2024 Set D2024 Set J2018
    $\int\sqrt{1+\cos 2x}\,dx=$
  107. Q107 2024 Set D2024 Set J
    $\int (x+\cos 2x)\,dx =$
  108. Q108 2024 Set D2024 Set J
    $\int e^x\left\{\sin^{-1}x+\frac{1}{\sqrt{1-x^2}}\right\}dx =$
  109. Q109 2024 Set D2024 Set J
    $\int \frac{dx}{x(x+2)} =$
  110. Q110 2024 Set D2024 Set J
    $\int \sqrt{a^2-x^2}\,dx =$
  111. Q111 2024 Set D2024 Set J
    $\int_{-\pi/2}^{\pi/2}\sin^7 x\,dx =$
  112. Q112 2024 Set D2024 Set J
    $\int_0^{\pi/6}\cos x\cdot\cos 2x\,dx =$
  113. Q113 2024 Set D2024 Set J
    $\int_{-\pi}^{\pi}\tan x\,dx =$
  114. Q114 2024 Set D
    $\int\frac{\cos2x}{\cos^2x\cdot\sin^2x}dx=$
  115. Q115 2024 Set D2024 Set J
    $\int \frac{dx}{2-3x} =$
  116. Q116 2024 Set D2024 Set J
    $\int \frac{x^3\,dx}{1+x^8} =$
  117. Q117 2024 Set D
    $\int xe^{x}\,dx =$
  118. Q118 2024 Set D2024 Set J
    $\int \sqrt{1-\sin 2x}\, dx =$
  119. Q119 2024 Set D2024 Set J
    $\int\frac{\log x}{x}\,dx =$
  120. Q120 2024 Set D2024 Set J
    $\int\frac{\cos\sqrt{x}}{\sqrt{x}}\,dx =$
  121. Q121 2024 Set D2024 Set J
    $\int\sqrt{\cos x}\cdot\sin x\,dx =$
  122. Q122 2024 Set D2024 Set J2021 Set J2021 Set I
    $\int \cot^2 x\,dx =$
  123. Q123 2024 Set D2024 Set J
    $\int \frac{dx}{a^2+x^2}=$
  124. Q124 2024 Set D2024 Set J
    $\int \sec x\,dx=$
  125. Q125 2024 Set D2024 Set J
    $\int \sec^5 x\tan x\,dx=$
  126. Q126 2024 Set D2024 Set J
    $\int \tan^2 x\,dx=$
  127. Q127 2024 Set D2024 Set J
    $\int_4^9\frac{1}{\sqrt{x}}\,dx =$
  128. Q128 2024 Set D2024 Set J
    Evaluate : $\int_0^{\pi/2}\log\cos x\,dx$.
  129. Q129 2024 Set J2024 Set D2021 Set J
    $\int \frac{x^4-1}{x^2+1}\,dx =$
  130. Q130 2024 Set J
    $\int \frac{\cos 2x}{\cos^2 x\cdot\sin^2 x}\,dx=$
  131. Q131 2024 Set J
    $\int xe^x\,dx =$
  132. Q132 2023
    $\displaystyle\int_{\pi/6}^{\pi/6} \tan\theta \, d\theta =$
  133. Q133 2023
    $\int \sin^3\theta \; \text{cosec}^2\theta \, d\theta =$
  134. Q134 2023
    $\int (\cos\theta \, \text{cosec}^2\theta - \cos\theta \, \cot^2\theta) \, d\theta =$
  135. Q135 2023
    $\int (4\cos x - 5\sin x) \, dx =$
  136. Q136 2023
    $\int \frac{3\cos x - 2\sin x}{2\cos x + 3\sin x} \, dx =$
  137. Q137 20232023 Set E
    $\int \frac{3x^2+2}{x^3+2x} \, dx =$
  138. Q138 20232023 Set E
    $\int \frac{dx}{x^2+5} =$
  139. Q139 20232023 Set E
    $\int_{-1}^{1} \log\left(\frac{3+x}{3-x}\right) \, dx =$
  140. Q140 20232023 Set E
    $\int \sin\frac{3x}{4}\,dx =$
  141. Q141 20232023 Set E
    $\int \cos\frac{7x}{9}\,dx =$
  142. Q142 20232023 Set E
    $\int \sec^2\frac{17x}{23}\,dx =$
  143. Q143 20232023 Set E
    $\int 4^x\,dx =$
  144. Q144 2023
    $\int x(4x^2 - 6)\,dx =$
  145. Q145 20232023 Set E
    $\int e^x(\cos x - \sin x)\,dx =$
  146. Q146 20232023 Set E
    $\int e^x (x^3+3x^2)\,dx =$
  147. Q147 2023
    $\int e^x \left(\dfrac{1}{x} - \dfrac{1}{x^2}\right) dx =$
  148. Q148 20232023 Set E
    $3\int_0^3 x^3\,dx =$
  149. Q149 20232023 Set E
    $\int_{-1}^{1} \sin^{17} x \cos^3 x \, dx =$
  150. Q150 2023
    $\int_{-1}^{1} x^{17} \, x \, dx =$
  151. Q151 20232023 Set E
    $3 \int \sqrt{x} \, dx =$
  152. Q152 20232023 Set E
    $\int \frac{x+2}{x^2-4} \, dx =$
  153. Q153 20232023 Set E
    $\int \frac{3\,dx}{\sqrt{1-9x^2}} =$
  154. Q154 20232023 Set E
    $25\int \sec 5x \tan 5x \, dx =$
  155. Q155 2023
    $\int \sec^2 4x \, dx =$
  156. Q156 20232023 Set E
    $\int \frac{dx}{1+36x^2} =$
  157. Q157 2023 Set E
    $\int x(4x^2-6)\,dx =$
  158. Q158 2023 Set E
    $\int e^x\left(\frac1x-\frac1{x^2}\right)dx =$
  159. Q159 2023 Set E
    $\int_{-1}^{1}x^{17}\cos^{4}x\,dx =$
  160. Q160 2023 Set E
    $\int\sec^{2}4x\,dx =$
  161. Q161 2023 Set E
    $\int_{-\pi/6}^{\pi/6}\tan\theta\,d\theta=$
  162. Q162 2023 Set E
    $\int\sin^3\theta\,\operatorname{cosec}^2\theta\,d\theta=$
  163. Q163 2023 Set E
    $\int(\cos\theta\operatorname{cosec}^2\theta-\cos\theta\cot^2\theta)\,d\theta=$
  164. Q164 2023 Set E
    $\int(4\cos x-5\sin x)\,dx=$
  165. Q165 2023 Set E
    $\int\dfrac{3\cos x-2\sin x}{2\cos x+3\sin x}\,dx=$
  166. Q166 2023 Set E
    Find the value of $\int_1^2\left(\frac1x-\frac1{2x^2}\right)e^{2x}\,dx$.
  167. Q167 2021 Set I
    $\int\frac{x^4-1}{x^2+1}dx=$
  168. Q168 2021 Set J2021 Set I
    $\int_1^3 dx=$
  169. Q169 2021 Set J2021 Set I
    $\int \sin x\cdot\cos x\,dx=$
  170. Q170 2021 Set J2021 Set I
    $\int_0^{\pi/2} \log\cot\theta\,d\theta =$
  171. Q171 2021 Set J2021 Set I
    $\int_0^{\pi/2} \frac{\cos\theta}{\cos\theta+\sin\theta}\,d\theta =$
  172. Q172 2021 Set J2021 Set I
    $\int \dfrac{\sec x}{\sec x+\tan x}\,dx =$
  173. Q173 2021 Set J2021 Set I
    $\int_0^3 x\,dx =$
  174. Q174 2021 Set J2021 Set I
    $\int_0^2 (x^2+1)\,dx =$
  175. Q175 2021 Set J2021 Set I
    $\int_0^{1} \frac{dx}{x+1} =$
  176. Q176 2021 Set J2021 Set I
    $\int_{-\pi/2}^{\pi/2} |\cos x|\,dx =$
  177. Q177 2021 Set J
    $\int_0^{1} e^x\,dx =$
  178. Q178 2019 Set F
    $\int \frac{dx}{x^2+16} = ?$
  179. Q179 2019 Set F
    $\int_a^b x^2\,dx = ?$
  180. Q180 2019 Set F
    $\int_2^1 \frac{dx}{x} = ?$
  181. Q181 2019 Set F
    $\int_{-\pi/2}^{\pi/2}\sin^9x\,dx=?$
  182. Q182 2019 Set F
    $\int x^n\,dx,\ (n \neq 0) = ?$
  183. Q183 2019 Set F
    $\displaystyle\int\frac{dx}{1+x^2}=\ ?$
  184. Q184 2019 Set F
    $\int \operatorname{cosec}^2 x\,dx = ?$
  185. Q185 2019 Set F
    $\int_0^{\pi/2} \sin^3 x \cos x\,dx = ?$
  186. Q186 2019 Set F
    $\int \sec x\,dx = ?$
  187. Q187 2018
    $\int x^{2}\cdot e^{x^{3}}\,dx=$
  188. Q188 2018
    $\int\dfrac{xe^{x}}{(x+1)^{2}}\,dx=$
  189. Q189 2018
    $\int\dfrac{dx}{a^{2}+x^{2}}=$
  190. Q190 2018
    If $f(-x) = -f(x)$ then $\int_{-a}^{a} f(x)\,dx =$
  191. Q191 2018
    $\int_0^1 x\,dx = ..........$
  192. Q192 20182015
    $\int \dfrac{dx}{x+\sqrt{x}}$
  193. Q193 2018
    Integrate $\int \sec^n\theta \cdot \tan\theta \, d\theta$
  194. Q194 2018
    Prove that $\int_0^{2\pi} |\cos x|\,dx = 4$
  195. Q195 2017
    $\int x^5\,dx = $ ............
  196. Q196 2017
    $\int 0\,dx = $ ............
  197. Q197 2017
    $\int \frac{dx}{x} = $ ............
  198. Q198 2017
    $\int_b^a x^3\,dx = $ ........
  199. Q199 2017
    Integrate $\int \sin^2 x \cdot \cos^2 x \, dx$
  200. Q200 2017
    Evaluate $\int_0^a \frac{x\,dx}{\sqrt{a^2 - x^2}}$
  201. Q201 20162015
    Integrate $\int e^x \cos x\,dx$
  202. Q202 2016
    $\int x^8\,dx$
  203. Q203 2016
    The integration of O with respect to x is…
  204. Q204 2016
    $\int\frac{dx}{1-\sin x}=$
  205. Q205 2016
    $\int_{b}^{a} x^2\,dx$
  206. Q206 2016
    $\int \frac{-1}{1+x^2}dx =$
  207. Q207 2016
    Prove that $\int_0^{\pi/2} \log \sin x\,dx = \int_0^{\pi/2} \log \cos x\,dx = -\frac{\pi}{2}\log 2$
  208. Q208 2015
    $\int 1\cdot dx$
  209. Q209 2015
    $\int\dfrac{dx}{1+\cos x}=$
  210. Q210 2015
    $\int_a^b x^5\,dx =$
  211. Q211 2015
    If $x>a$, $\displaystyle\int \dfrac{dx}{x^2-a^2} =$
  212. Q212 2015
    Evaluate $\int_0^{\pi/4} \sin^2 x\,dx$