Integrals

JEE Advanced · Mathematics · 61 past questions

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1. 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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2. 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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