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An integral of a differential equation that's troubling me

score 369 · Answer 1 · 2026-03-25 14:27:03

369

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An integral of a differential equation that's troubling me

Published on 25 Mar 2026 - 14:27

score 83 · Answer 2 · 2024-01-25 20:26:05

83

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How to integrate $\int \tan^{-1}\frac{(1+x^{n})-(x)}{1+x(1+x^{n})}dx$ for $n\geq 2$?

Published on 25 Jan 2024 - 20:26

score 78 · Answer 3 · 2024-01-27 17:39:26

78

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How can you know what substitution you have to do for $\int \sec x\, dx = \ln |\sec x + \tan x| + C$

Published on 27 Jan 2024 - 17:39

score 48 · Answer 4 · 2026-04-04 01:51:51

48

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Integrate $\int \Gamma(a,f(y)) dy $?

Published on 04 Apr 2026 - 1:51

score 117 · Answer 5 · 2024-01-29 21:02:31

117

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Correct antiderivative of $(7x+9)^{1/2}$

Published on 29 Jan 2024 - 21:02

score 112 · Answer 6 · 2026-04-11 04:20:20

112

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Evaluating a challenging definite integral

Published on 11 Apr 2026 - 4:20

score 66 · Answer 7 · 2024-01-31 18:13:16

66

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find $I=\int\frac{\sin^2(x)dx}{\sin(x)+2\cos(x)}$

Published on 31 Jan 2024 - 18:13

score 40 · Answer 8 · 2026-03-26 01:02:48

40

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Integral of multivariable fuction with function differential

Published on 26 Mar 2026 - 1:02

score 32 · Answer 9 · 2024-01-31 21:54:55

32

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$\int\frac{\cos(2x)}{\sin^4(x)+\cos^4(x)}dx$

Published on 31 Jan 2024 - 21:54

score 44 · Answer 10 · 2026-03-25 23:58:43

44

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For which lower bound of integration $a$ does a definite integral of $f(x)$ from $a$ to $x$ equal its antiderivative $F(x)$ with $C=0$?

Published on 25 Mar 2026 - 23:58

score 120 · Answer 11 · 2024-02-01 12:43:11

120

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integral $I=\int\dfrac{dx}{x\sqrt{2+x-x^2}}$

Published on 01 Feb 2024 - 12:43

score 158 · Answer 12 · 2024-02-01 19:07:42

158

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Evaluate the indefinite algebraic integral $\int\frac{dx}{(x-1)\sqrt{x^2+x+1}}$

Published on 01 Feb 2024 - 19:07

score 26 · Answer 13 · 2024-02-02 12:49:03

26

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Problem evaluating $\int x^2 \sqrt {a^2 - x^2} \, \mathrm d x$

Published on 02 Feb 2024 - 12:49

score 161 · Answer 14 · 2026-03-26 16:07:08

161

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When is this indefinite integral $\int\frac{\mathrm dx}{\sqrt{x^n+1}}$ expressible in terms of elliptic integrals?

Published on 26 Mar 2026 - 16:07

score 29 · Answer 15 · 2026-04-10 21:01:29

29

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Derivative over time of an integral over the space in the context of Brownian motions

Published on 10 Apr 2026 - 21:01

List Question

An integral of a differential equation that's troubling me

How to integrate $\int \tan^{-1}\frac{(1+x^{n})-(x)}{1+x(1+x^{n})}dx$ for $n\geq 2$?

How can you know what substitution you have to do for $\int \sec x\, dx = \ln |\sec x + \tan x| + C$

Integrate $\int \Gamma(a,f(y)) dy $?

Correct antiderivative of $(7x+9)^{1/2}$

Evaluating a challenging definite integral

find $I=\int\frac{\sin^2(x)dx}{\sin(x)+2\cos(x)}$

Integral of multivariable fuction with function differential

$\int\frac{\cos(2x)}{\sin^4(x)+\cos^4(x)}dx$

For which lower bound of integration $a$ does a definite integral of $f(x)$ from $a$ to $x$ equal its antiderivative $F(x)$ with $C=0$?

integral $I=\int\dfrac{dx}{x\sqrt{2+x-x^2}}$

Evaluate the indefinite algebraic integral $\int\frac{dx}{(x-1)\sqrt{x^2+x+1}}$

Problem evaluating $\int x^2 \sqrt {a^2 - x^2} \, \mathrm d x$

When is this indefinite integral $\int\frac{\mathrm dx}{\sqrt{x^n+1}}$ expressible in terms of elliptic integrals?

Derivative over time of an integral over the space in the context of Brownian motions

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