Integrals

JEE Advanced · Mathematics · 61 past questions

13 of 61 · show all

1. Q2 2025 Paper 2

   If…

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2. Q3 2024 Paper 2

   Let the function $f:[1,\infty)\to\mathbb{R}$ be defined by…

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3. Q8 2022 Paper 2

   The greatest integer less than or equal to…

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4. Q9 2022 Paper 2

   For positive integer $n$, define…

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5. Q13 2021 Paper 2

   Paragraph…

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6. Q14 2021 Paper 2

   For any real number $x$, let $[x]$ denote the largest integer less than or equal to $x$. If…

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7. Q22 2018 Paper 2

   The value of the integral…

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8. Q30 2015 Paper 2

   Let $f:\mathbb{R}\to\mathbb{R}$ be a continuous odd function, which vanishes exactly at one point and…

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9. Q31 2015 Paper 2

   The option(s) with the values of $a$ and $L$ that satisfy the following equation…

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10. Q33 2015 Paper 2

    Let $f'(x)=\dfrac{192x^3}{2+\sin^4\pi x}$ for all $x\in\mathbb{R}$ with $f\left(\frac12\right)=0$. If…

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11. Q38 2014 Paper 2

    The following integral…

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12. 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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13. 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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