Question

How to evaluate this indefinite integral by only using trigonometric substitution?

score 131 · Answer 1 · 2026-04-08 16:50:59

131

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How to evaluate this indefinite integral by only using trigonometric substitution?

Published on 08 Apr 2026 - 16:50

score 478 · Answer 2 · 2023-11-27 16:40:17

478

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How to integrate $\int \sqrt{\sec^{2}x}dx$?

Published on 27 Nov 2023 - 16:40

score 106 · Answer 3 · 2023-11-29 11:52:37

106

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Calculation of $\int \frac{ A_0 + A_1\cos{(a_1x)} + A_2\cos{(a_2x)} }{ [ B_0 + B_1\cos{(a_1x)} + B_2\cos{(a_2x)} ]^2 } dx $

Published on 29 Nov 2023 - 11:52

score 281 · Answer 4 · 2026-03-30 05:13:12

281

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Trouble understanding this hard integral $\int \frac{x^3}{(x^2+1)^2}dx$

Published on 30 Mar 2026 - 5:13

score 139 · Answer 5 · 2023-11-29 15:11:51

139

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$\int \sqrt[3]{1+ \sqrt[4]x}dx $

Published on 29 Nov 2023 - 15:11

score 104 · Answer 6 · 2023-11-29 15:45:50

104

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Evaluate the Integral $\int\sqrt{\frac{2x+1}{3x+2}}dx$

Published on 29 Nov 2023 - 15:45

score 98 · Answer 7 · 2026-03-28 12:13:30

98

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I get stuck with this integral

Published on 28 Mar 2026 - 12:13

score 732 · Answer 8 · 2026-03-28 12:13:23

732

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I need guidance in this integral

Published on 28 Mar 2026 - 12:13

score 77 · Answer 9 · 2023-12-01 06:01:05

77

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Can't figure out integration by parts mistake in integrating f(x)/f'(x)

Published on 01 Dec 2023 - 6:01

score 45 · Answer 10 · 2023-12-01 18:29:05

45

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Integration via Weierstraß substitution and u-substitution on $\int{\dfrac{\cos{x}}{2+\sin{x}}} dx$ yields seemingly different results

Published on 01 Dec 2023 - 18:29

score 151 · Answer 11 · 2023-12-02 22:23:26

151

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How to approach this integral besides Tangent half-angle substitution $\int \frac{dx}{\sin x-\cos x}$

Published on 02 Dec 2023 - 22:23

score 88 · Answer 12 · 2023-12-02 23:56:48

88

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Why $- \int \frac{du}{1-u^2}$ is not $-\frac{1}{2}\ln |1-u^2|$?

Published on 02 Dec 2023 - 23:56

score 57 · Answer 13 · 2026-03-30 15:05:16

57

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Zorich Exercise 5.7.3: Reduction of integrals of the form $\int R(x,\sqrt{ax^2+bx+c})\,dx$

Published on 30 Mar 2026 - 15:05

score 60 · Answer 14 · 2023-12-04 16:30:00

60

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is it possible to $\int \frac{dx}{(x+1)^2(x^2+1)}$ without partial fractions

Published on 04 Dec 2023 - 16:30

score 87 · Answer 15 · 2023-12-04 20:04:41

87

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How does Wolfram Alpha get $\displaystyle\int\dfrac y{\ln y}dy\gets\operatorname{Ei}(-2\ln y)+c$?

Published on 04 Dec 2023 - 20:04

List Question

How to evaluate this indefinite integral by only using trigonometric substitution?

How to integrate $\int \sqrt{\sec^{2}x}dx$?

Calculation of $\int \frac{ A_0 + A_1\cos{(a_1x)} + A_2\cos{(a_2x)} }{ [ B_0 + B_1\cos{(a_1x)} + B_2\cos{(a_2x)} ]^2 } dx $

Trouble understanding this hard integral $\int \frac{x^3}{(x^2+1)^2}dx$

$\int \sqrt[3]{1+ \sqrt[4]x}dx $

Evaluate the Integral $\int\sqrt{\frac{2x+1}{3x+2}}dx$

I get stuck with this integral

I need guidance in this integral

Can't figure out integration by parts mistake in integrating f(x)/f'(x)

Integration via Weierstraß substitution and u-substitution on $\int{\dfrac{\cos{x}}{2+\sin{x}}} dx$ yields seemingly different results

How to approach this integral besides Tangent half-angle substitution $\int \frac{dx}{\sin x-\cos x}$

Why $- \int \frac{du}{1-u^2}$ is not $-\frac{1}{2}\ln |1-u^2|$?

Zorich Exercise 5.7.3: Reduction of integrals of the form $\int R(x,\sqrt{ax^2+bx+c})\,dx$

is it possible to $\int \frac{dx}{(x+1)^2(x^2+1)}$ without partial fractions

How does Wolfram Alpha get $\displaystyle\int\dfrac y{\ln y}dy\gets\operatorname{Ei}(-2\ln y)+c$?

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