Integrals

JEE Advanced · Mathematics · 61 past questions

14 of 61 · show all

1. Q3 2024 Paper 2

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

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2. Q6 2023 Paper 2

   For $x \in \mathbb{R}$, let $\tan^{-1}(x) \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$. Then the minimum…

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3. Q7 2022 Paper 1

   Consider the equation…

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4. Q10 2021 Paper 2

   Let $f:\left[-\dfrac{\pi}{2},\dfrac{\pi}{2}\right]\to\mathbb{R}$ be a continuous function such that…

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5. Q13 2021 Paper 2

   Paragraph…

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6. Q16 2020 Paper 2

   Let $f:\mathbb{R}\to\mathbb{R}$ be a differentiable function such that its derivative $f'$ is continuous and…

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7. Q20 2018 Paper 1

   Let $f: [0, \infty) \to \mathbb{R}$ be a continuous function such that…

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8. Q25 2016 Paper 1

   The total number of distinct $x \in [0, 1]$ for which $\int_0^x \frac{t^2}{1+t^4}\,dt = 2x - 1$ is

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9. Q28 2015 Paper 1

   Let $F(x)=\int_x^{x^2+\frac{\pi}{6}}2\cos^2 t\,dt$ for all $x\in\mathbb{R}$ and…

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10. 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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11. Q34 2015 Paper 2

    Let $F:\mathbb{R}\to\mathbb{R}$ be a thrice differentiable function. Suppose that $F(1)=0$, $F(3)=-4$ and…

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12. Q35 2015 Paper 2

    Let $F:\mathbb{R}\to\mathbb{R}$ be a thrice differentiable function. Suppose that $F(1)=0$, $F(3)=-4$ and…

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13. 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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14. 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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