Integrals

JEE Advanced · Mathematics · 61 past questions

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1. Q44 2012 Paper 1

   The integral $\int \frac{\sec^2 x}{(\sec x+\tan x)^{9/2}}\,dx$ equals (for some arbitrary constant $K$)

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2. Q45 2012 Paper 1

   Let $S$ be the area of the region enclosed by $y=e^{-x^2}$, $y=0$, $x=0$, and $x=1$. Then

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3. Q46 2012 Paper 2

   The value of the integral $\int_{-\pi/2}^{\pi/2} \left(x^2 + \ln\frac{\pi + x}{\pi - x}\right)\cos x \, dx$ is

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4. Q47 2012 Paper 2

   Paragraph for Questions 51 and 52…

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5. Q48 2012 Paper 2

   If $f(x)=\int_0^x e^{t^2}(t-2)(t-3)\,dt$ for all $x\in(0,\infty)$, then

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