Question

Evaluating $\int\frac{1}{\sqrt {e^{4x}-1}} dx$ using the expression $\frac{1}{a}\tan^{-1}\left(\frac{1}{a}\right)+c$

score 274 · Answer 1 · 2026-04-17 04:35:43

274

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Evaluating $\int\frac{1}{\sqrt {e^{4x}-1}} dx$ using the expression $\frac{1}{a}\tan^{-1}\left(\frac{1}{a}\right)+c$

Published on 17 Apr 2026 - 4:35

score 79 · Answer 2 · 2026-04-16 01:23:04

79

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Integrate $\frac{a^2}{a^2+\cos^2(x)}$

Published on 16 Apr 2026 - 1:23

score 83 · Answer 3 · 2026-04-11 03:27:19

83

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Trigonometric Substitution (Basic)

Published on 11 Apr 2026 - 3:27

score 237 · Answer 4 · 2026-04-16 15:45:44

237

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Solve integral $\int \frac{\sqrt{x+1}+2}{(x+1)^2 - \sqrt{x+1}}dx$

Published on 16 Apr 2026 - 15:45

score 85 · Answer 5 · 2026-04-11 04:07:19

85

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What is the result of this integral?

Published on 11 Apr 2026 - 4:07

score 105 · Answer 6 · 2026-04-17 04:46:02

105

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Solve partial integral $∫ x^2 \ln \left(\frac{1 - x}{1 + x} \right)dx$

Published on 17 Apr 2026 - 4:46

score 167 · Answer 7 · 2026-04-15 22:19:55

167

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Solving $\int {\frac{1}{(-x^{2}+6x-5)^{1/2}}}\;dx$ such that $(1\lt x\lt5)$ using trigonometric substitutions and pythagorean identities

Published on 15 Apr 2026 - 22:19

score 531 · Answer 8 · 2026-04-17 20:32:15

531

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Solve $\int \sin ^m\left(x\right)\cos ^n\left(x\right)$

Published on 17 Apr 2026 - 20:32

score 399 · Answer 9 · 2026-04-16 12:02:20

399

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Integrating $\int \frac{x \cos x+1}{\sqrt{2x^3e^{\sin x}+x^2}}dx$

Published on 16 Apr 2026 - 12:02

score 182 · Answer 10 · 2026-04-17 02:23:47

182

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Integrating $\frac{\ln x}{(1+\ln x)^2}$

Published on 17 Apr 2026 - 2:23

score 1.3k · Answer 11 · 2026-04-16 08:38:44

1.3k

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Integrating $\int \frac{\sin x-\cos x}{(\sin x+\cos x)\sqrt{(\sin x \cos x + \sin^2x\cos^2x)}}\,dx$

Published on 16 Apr 2026 - 8:38

score 1.1k · Answer 12 · 2026-04-15 19:53:21

1.1k

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The indefinite integral $\int x^{13}\sqrt{x^7+1}dx$

Published on 15 Apr 2026 - 19:53

score 200 · Answer 13 · 2026-04-17 09:27:14

200

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Integrating $\int\frac{x^2-1}{(x^2+1)\sqrt{x^4+1}}\,dx$

Published on 17 Apr 2026 - 9:27

score 202 · Answer 14 · 2026-04-10 20:03:35

202

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Evaluation of Multidimensional Integral

Published on 10 Apr 2026 - 20:03

score 132 · Answer 15 · 2026-04-10 18:13:58

132

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A question on indefinite integration...

Published on 10 Apr 2026 - 18:13

List Question

Evaluating $\int\frac{1}{\sqrt {e^{4x}-1}} dx$ using the expression $\frac{1}{a}\tan^{-1}\left(\frac{1}{a}\right)+c$

Integrate $\frac{a^2}{a^2+\cos^2(x)}$

Trigonometric Substitution (Basic)

Solve integral $\int \frac{\sqrt{x+1}+2}{(x+1)^2 - \sqrt{x+1}}dx$

What is the result of this integral?

Solve partial integral $∫ x^2 \ln \left(\frac{1 - x}{1 + x} \right)dx$

Solving $\int {\frac{1}{(-x^{2}+6x-5)^{1/2}}}\;dx$ such that $(1\lt x\lt5)$ using trigonometric substitutions and pythagorean identities

Solve $\int \sin ^m\left(x\right)\cos ^n\left(x\right)$

Integrating $\int \frac{x \cos x+1}{\sqrt{2x^3e^{\sin x}+x^2}}dx$

Integrating $\frac{\ln x}{(1+\ln x)^2}$

Integrating $\int \frac{\sin x-\cos x}{(\sin x+\cos x)\sqrt{(\sin x \cos x + \sin^2x\cos^2x)}}\,dx$

The indefinite integral $\int x^{13}\sqrt{x^7+1}dx$

Integrating $\int\frac{x^2-1}{(x^2+1)\sqrt{x^4+1}}\,dx$

Evaluation of Multidimensional Integral

A question on indefinite integration...

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