Question

Prove the inequalities using the basic properties of integrals.

score 218 · Answer 1 · 2023-02-19 12:47:41

218

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Prove the inequalities using the basic properties of integrals.

Published on 19 Feb 2023 - 12:47

score 302 · Answer 2 · 2023-02-19 14:18:46

302

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Evaluate the Integral $\int_{0}^{\infty}\ln\left(1+\pi\frac{2\cosh\left(t\right)+\pi}{t^{2}+\cosh\left(t\right)^{2}}\right)dt$

Published on 19 Feb 2023 - 14:18

score 86 · Answer 3 · 2026-03-25 22:10:59

86

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Can't find my error in integrating $\sin(1-2x)\cos(1+2x)$

Published on 25 Mar 2026 - 22:10

score 1.1k · Answer 4 · 2023-02-19 17:06:21

1.1k

Views

2023 MIT Integration Bee Semifinals #1 Problem 1 $\int e^{\cos x}\cos(2x+\sin x)dx$

Published on 19 Feb 2023 - 17:06

score 70 · Answer 5 · 2023-02-20 18:20:48

70

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Why does $∫{\frac{1+\log x}x}\,\mathrm dx$ not equal $\log x + \frac{(\log x)^2}2 + C?$

Published on 20 Feb 2023 - 18:20

score 2.4k · Answer 6 · 2023-02-21 14:11:57

2.4k

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Evaluate: $\int\frac{3e^{2x}-2e^x}{e^{2x}+2e^x-8}dx$

Published on 21 Feb 2023 - 14:11

score 40 · Answer 7 · 2023-02-22 23:16:03

40

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How can we know if an integrand's antiderivative can be expressed in terms of elementary functions without evaluating for it?

Published on 22 Feb 2023 - 23:16

score 47 · Answer 8 · 2023-02-23 22:54:09

47

Views

What is the inverse function of this x(t) here?

Published on 23 Feb 2023 - 22:54

score 366 · Answer 9 · 2023-02-24 12:19:36

366

Views

Devising an analytical approach to solving two infinite (improper) integrals of type $\int_0^\infty f(u) J_\mu (au) J_\nu(bu) \,\mathrm{d}u$

Published on 24 Feb 2023 - 12:19

score 64 · Answer 10 · 2026-03-25 22:09:41

64

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Reduction expression having $\sec(x)$ and $\tan(x)$ terms

Published on 25 Mar 2026 - 22:09

score 326 · Answer 11 · 2023-02-26 16:10:52

326

Views

Evaluating $\int x \sqrt{x^2 - x}\ dx$

Published on 26 Feb 2023 - 16:10

score 136 · Answer 12 · 2026-04-03 14:13:22

136

Views

Is it possible to express $\int\frac{dx}{e^x-x}$ in terms of special functions?

Published on 03 Apr 2026 - 14:13

score 26 · Answer 13 · 2023-03-01 20:24:31

26

Views

could we define new functions based on the elementary functions to ease symbolic integration?

Published on 01 Mar 2023 - 20:24

score 112 · Answer 14 · 2023-03-02 13:29:13

112

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Find integral of $\int\frac{x^2+3}{\sqrt{x^2+6}}dx$ from Cambridge IGCSE Additional Mathematics

Published on 02 Mar 2023 - 13:29

score 113 · Answer 15 · 2023-03-02 17:09:02

113

Views

Solve indefinite integral $\int\frac{x^6}{\sqrt{x^2+1}}dx$

Published on 02 Mar 2023 - 17:09

List Question

Prove the inequalities using the basic properties of integrals.

Evaluate the Integral $\int_{0}^{\infty}\ln\left(1+\pi\frac{2\cosh\left(t\right)+\pi}{t^{2}+\cosh\left(t\right)^{2}}\right)dt$

Can't find my error in integrating $\sin(1-2x)\cos(1+2x)$

2023 MIT Integration Bee Semifinals #1 Problem 1 $\int e^{\cos x}\cos(2x+\sin x)dx$

Why does $∫{\frac{1+\log x}x}\,\mathrm dx$ not equal $\log x + \frac{(\log x)^2}2 + C?$

Evaluate: $\int\frac{3e^{2x}-2e^x}{e^{2x}+2e^x-8}dx$

How can we know if an integrand's antiderivative can be expressed in terms of elementary functions without evaluating for it?

What is the inverse function of this x(t) here?

Devising an analytical approach to solving two infinite (improper) integrals of type $\int_0^\infty f(u) J_\mu (au) J_\nu(bu) \,\mathrm{d}u$

Reduction expression having $\sec(x)$ and $\tan(x)$ terms

Evaluating $\int x \sqrt{x^2 - x}\ dx$

Is it possible to express $\int\frac{dx}{e^x-x}$ in terms of special functions?

could we define new functions based on the elementary functions to ease symbolic integration?

Find integral of $\int\frac{x^2+3}{\sqrt{x^2+6}}dx$ from Cambridge IGCSE Additional Mathematics

Solve indefinite integral $\int\frac{x^6}{\sqrt{x^2+1}}dx$

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