Integrals

JEE Advanced · Mathematics · 61 past questions

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1. 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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2. Q59 2007 Paper 1

   Let $F(x)$ be an indefinite integral of $\sin^2 x$.…

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3. Q60 2007 Paper 1

   Match the integrals in Column I with the values in Column II and indicate your answer by darkening the…

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4. Q61 2007 Paper 2

   Let $f(x) = \dfrac{x}{(1+x^n)^{1/n}}$ for $n \ge 2$ and $g(x) = (f \circ f \circ \cdots \circ f)(x)$, where…

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