Integrals

JEE Advanced · Mathematics · 61 past questions

6 of 61 · show all

1. Q36 2014 Paper 1

   Let $f:[a,b]\to[1,\infty)$ be a continuous function and let $g:\mathbb{R}\to\mathbb{R}$ be defined as…

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2. Q37 2014 Paper 1

   The value of…

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3. Q38 2014 Paper 2

   The following integral…

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4. Q39 2014 Paper 2

   Let $f:[0,2]\to\mathbb{R}$ be a function which is continuous on $[0,2]$ and is differentiable on $(0,2)$ with…

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5. Q40 2014 Paper 2

   Given that for each $a \in (0,1)$, $\lim_{h\to 0^+}\int_h^{1-h} t^{-a}(1-t)^{a-1}\,dt$ exists. Let this limit…

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6. Q41 2014 Paper 2

   Given that for each $a \in (0,1)$, $\lim_{h\to 0^+}\int_h^{1-h} t^{-a}(1-t)^{a-1}\,dt$ exists. Let this limit…

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