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. 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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3. Q53 2010 Paper 1

   For any real number x, let [x] denote the largest integer less than or equal to x. Let f be a real valued…

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