Integrals

JEE Advanced · Mathematics · 61 past questions

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1. Q15 2020 Paper 1

   Which of the following inequalities is/are TRUE?

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2. Q24 2017 Paper 2

   If $I = \sum_{k=1}^{98} \int_k^{k+1} \frac{k+1}{x(x+1)}\,dx$, then

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3. Q33 2015 Paper 2

   Let $f'(x)=\dfrac{192x^3}{2+\sin^4\pi x}$ for all $x\in\mathbb{R}$ with $f\left(\frac12\right)=0$. If…

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4. Q42 2013 Paper 1

   Let $f: \left[\frac{1}{2}, 1\right] \to \mathbb{R}$ (the set of all real numbers) be a positive, non-constant…

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5. 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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