List questions from definite-integrals

Published on 10 Apr 2026 - 11:11

54

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Double integral done in two different ways gives two different answers

Published on 10 Apr 2026 - 14:02

35

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study of convergence of an integral

Published on 11 Apr 2026 - 9:43

146

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How to integrate $\int_0^{\pi/2}\frac{1}{\sin^2(x)-\sin(x)\cos(x)+\cos^2(x)}\,\mathrm{d}x$

Published on 28 Apr 2018 - 11:21

39

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How to understand variable substitution in integral?

Published on 08 Apr 2026 - 18:34

39

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Area enclosed by a biquadratic function

Published on 26 Mar 2026 - 23:59

54

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Defined integral $\{x^2-1\}$ from to $2$ to $\pi$.

Published on 13 Apr 2026 - 3:44

146

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Solving $\int_{0}^{\frac{\pi}{2}} e^{a \cos(x)} dx$

Published on 28 Apr 2018 - 17:19

95

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Applying the Fundamental Theorem of Calculus with derivatives

Published on 09 Apr 2026 - 4:18

106

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To find $\int_1^a \lfloor x^2\rfloor f'(x)\,\mathrm{d}x$ where $a>1$ is a real number

Published on 29 Apr 2018 - 11:13

127

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On a closed form for $\int_{-\infty}^\infty\frac{dx}{\left(1+x^2\right)^p}$

Published on 25 Mar 2026 - 6:32

42

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Absolute value integral in terms of $x$ as a function of $a$.

Published on 08 Apr 2026 - 20:04

206

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Why can't the indefinite integral $\int\frac{\sin(x)}{x}\mathrm dx$ be found?

Published on 25 Mar 2026 - 17:39

96

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Find the value of : $\lim_{n\to\infty}\int _0^1 nx ({1 - x^2})^{n} dx$

Published on 29 Apr 2018 - 16:38

184

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Prove that $\sum_{k=0}^{n}(-1)^k{n\choose k}\frac{1}{(k+1)(k+2)}=\frac{1}{n+2}$

Published on 25 Mar 2026 - 5:50

List Question

Calculate the following integral involving $\cosh^2$

Double integral done in two different ways gives two different answers

study of convergence of an integral

How to integrate $\int_0^{\pi/2}\frac{1}{\sin^2(x)-\sin(x)\cos(x)+\cos^2(x)}\,\mathrm{d}x$

How to understand variable substitution in integral?

Area enclosed by a biquadratic function

Defined integral $\{x^2-1\}$ from to $2$ to $\pi$.

Solving $\int_{0}^{\frac{\pi}{2}} e^{a \cos(x)} dx$

Applying the Fundamental Theorem of Calculus with derivatives

To find $\int_1^a \lfloor x^2\rfloor f'(x)\,\mathrm{d}x$ where $a>1$ is a real number

On a closed form for $\int_{-\infty}^\infty\frac{dx}{\left(1+x^2\right)^p}$

Absolute value integral in terms of $x$ as a function of $a$.

Why can't the indefinite integral $\int\frac{\sin(x)}{x}\mathrm dx$ be found?

Find the value of : $\lim_{n\to\infty}\int _0^1 nx ({1 - x^2})^{n} dx$

Prove that $\sum_{k=0}^{n}(-1)^k{n\choose k}\frac{1}{(k+1)(k+2)}=\frac{1}{n+2}$

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