Integrals

CBSE Class 12 · Mathematics · 54 past questions

11 of 54 · show all

1. Q14 2025

   $\int_{-1}^{1} \frac{|x|}{x}\, dx$, $x \neq 0$ is equal to

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2. Q15 2025

   If $\int \frac{2^{\frac{1}{x}}}{x^2}\,dx = k \cdot 2^{\frac{1}{x}} + C$, then k is equal to

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3. Q16 2025

   Find : $\int \frac{x+\sin x}{1+\cos x}\,dx$

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4. Q17 2025

   If $f(2a - x) = f(x)$, then $\displaystyle\int_0^{2a} f(x)\,dx$ is

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5. Q18 2025

   Evaluate : $\int_0^{\pi/4} \sqrt{1+\sin 2x}\,dx$

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6. Q19 2025

   Find : $\int \frac{1}{x}\sqrt{\frac{x+a}{x-a}}\,dx$.

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7. Q20 2025

   Find : $\int \frac{x^2+x+1}{(x+2)(x^2+1)}\,dx$.

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8. Q21 2025

   $\int \frac{\cos 2x - \cos 2\alpha}{\cos x - \cos \alpha}\,dx$ is equal to…

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9. Q22 2025

   The value of $\int_0^1 \frac{dx}{e^x + e^{-x}}$ is…

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10. Q23 2025

    Evaluate…

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11. Q24 2025

    Find…

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