Integrals

JEE Advanced · Mathematics · 61 past questions

6 of 61 · show all

1. Q11 2021 Paper 2

   Let $g_i:\left[\frac{\pi}{8},\frac{3\pi}{8}\right]\to\mathbb{R}$, $i=1,2$, and…

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2. Q21 2018 Paper 1

   For each positive integer $n$, let…

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3. Q26 2016 Paper 2

   The value of $\int_{-\pi/2}^{\pi/2} \frac{x^2 \cos x}{1+e^x}\,dx$ is equal to

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4. 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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5. Q51 2010 Paper 1

   The value of $\lim_{x\to0}\frac{1}{x^3}\int_0^x\frac{t\ln(1+t)}{t^4+4}\,dt$ is

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6. Q58 2007 Paper 1

   $\displaystyle\lim_{x \to \frac{\pi}{4}} \dfrac{\int_2^{\sec^2 x} f(t)\,dt}{x^2 - \dfrac{\pi^2}{16}}$ equals

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