Integrals

JEE Advanced · Mathematics · 61 past questions

9 of 61 · show all

1. Q23 2017 Paper 1

   Let $f:\mathbb{R}\to\mathbb{R}$ be a differentiable function such that $f(0)=0$…

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2. Q29 2015 Paper 2

   If $\alpha = \int_0^1 \left(e^{9x+3\tan^{-1}x}\right)\left(\frac{12+9x^2}{1+x^2}\right)dx$ where $\tan^{-1}x$…

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3. Q32 2015 Paper 2

   Let $f(x)=7\tan^8 x+7\tan^6 x-3\tan^4 x-3\tan^2 x$ for all $x\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$.…

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4. Q37 2014 Paper 1

   The value of…

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5. Q40 2014 Paper 2

   Given that for each $a \in (0,1)$, $\lim_{h\to 0^+}\int_h^{1-h} t^{-a}(1-t)^{a-1}\,dt$ exists. Let this limit…

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6. Q41 2014 Paper 2

   Given that for each $a \in (0,1)$, $\lim_{h\to 0^+}\int_h^{1-h} t^{-a}(1-t)^{a-1}\,dt$ exists. Let this limit…

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7. 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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8. Q52 2010 Paper 1

   The value(s) of $\int_0^1 \frac{x^4(1-x)^4}{1+x^2}\,dx$ is (are)

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9. Q57 2008 Paper 2

   Let…

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