Question

Evaluating $\int\frac{\cos^{n-1}\frac{x+a}{2}}{\sin^{n+1}\frac{x-a}{2}}\;dx$

score 98 · Answer 1 · 2026-04-14 20:50:36

98

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Evaluating $\int\frac{\cos^{n-1}\frac{x+a}{2}}{\sin^{n+1}\frac{x-a}{2}}\;dx$

Published on 14 Apr 2026 - 20:50

score 32.9k · Answer 2 · 2026-04-17 09:02:43

32.9k

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Prove $\int\cos^n x \ dx = \frac{1}n \cos^{n-1}x \sin x + \frac{n-1}{n}\int\cos^{n-2} x \ dx$

Published on 17 Apr 2026 - 9:02

score 292 · Answer 3 · 2026-04-16 00:14:53

292

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Evaluating $\int \cos(x) \sqrt{\sin(2 x)} dx$

Published on 16 Apr 2026 - 0:14

score 4k · Answer 4 · 2026-04-13 19:56:59

4k

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Ideas on the ways to integrate $\int \tan^2( x)\sec^3( x) dx$

Published on 13 Apr 2026 - 19:56

score 220 · Answer 5 · 2026-04-16 10:54:19

220

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Integrating $\int \frac{2x \ln x}{\sqrt{x^2-9}}\mathrm dx$ by parts.

Published on 16 Apr 2026 - 10:54

score 745 · Answer 6 · 2026-04-13 06:37:20

745

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is there are specific way to solve coupled first-order differential equations with coefficients varying?

Published on 13 Apr 2026 - 6:37

score 1.8k · Answer 7 · 2026-04-14 23:57:07

1.8k

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Evaluating $\int \frac {\sqrt{\tan \theta}} {\sin 2\theta} \ d \theta$

Published on 14 Apr 2026 - 23:57

score 376 · Answer 8 · 2026-04-16 07:17:04

376

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Evaluation of $\int (\arctan x)^2 dx$

Published on 16 Apr 2026 - 7:17

score 21k · Answer 9 · 2026-04-11 10:16:34

21k

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How do you integrate $e^{x^2}$?

Published on 11 Apr 2026 - 10:16

score 117 · Answer 10 · 2026-04-16 05:00:33

117

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Reduced formula: $\int x^m \cdot e^x dx$

Published on 16 Apr 2026 - 5:00

score 99 · Answer 11 · 2026-04-09 22:27:12

99

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Finding a general indefinite integral involving trig

Published on 09 Apr 2026 - 22:27

score 774 · Answer 12 · 2026-04-16 15:42:21

774

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Evaluating $\int{ \frac{\arctan\sqrt{x^{2}-1}}{\sqrt{x^{2}+x}}} \,dx$

Published on 16 Apr 2026 - 15:42

score 303 · Answer 13 · 2026-04-15 20:44:47

303

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Derivative of the indefinite integral and Lebesgue point

Published on 15 Apr 2026 - 20:44

score 428 · Answer 14 · 2026-04-15 22:11:38

428

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how to estimate this indefinite integral $\int \frac{1}{e^x +x}dx$

Published on 15 Apr 2026 - 22:11

score 19.6k · Answer 15 · 2026-04-14 02:24:27

19.6k

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Integral of $\sin (2x)/(1+\cos^2 x)$

Published on 14 Apr 2026 - 2:24

List Question

Evaluating $\int\frac{\cos^{n-1}\frac{x+a}{2}}{\sin^{n+1}\frac{x-a}{2}}\;dx$

Prove $\int\cos^n x \ dx = \frac{1}n \cos^{n-1}x \sin x + \frac{n-1}{n}\int\cos^{n-2} x \ dx$

Evaluating $\int \cos(x) \sqrt{\sin(2 x)} dx$

Ideas on the ways to integrate $\int \tan^2( x)\sec^3( x) dx$

Integrating $\int \frac{2x \ln x}{\sqrt{x^2-9}}\mathrm dx$ by parts.

is there are specific way to solve coupled first-order differential equations with coefficients varying?

Evaluating $\int \frac {\sqrt{\tan \theta}} {\sin 2\theta} \ d \theta$

Evaluation of $\int (\arctan x)^2 dx$

How do you integrate $e^{x^2}$?

Reduced formula: $\int x^m \cdot e^x dx$

Finding a general indefinite integral involving trig

Evaluating $\int{ \frac{\arctan\sqrt{x^{2}-1}}{\sqrt{x^{2}+x}}} \,dx$

Derivative of the indefinite integral and Lebesgue point

how to estimate this indefinite integral $\int \frac{1}{e^x +x}dx$

Integral of $\sin (2x)/(1+\cos^2 x)$

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