Question

How to choose a correct contour

score 173 · Answer 1 · 2019-06-22 04:18:02

173

Views

How to choose a correct contour

Published on 22 Jun 2019 - 4:18

score 335 · Answer 2 · 2019-06-25 03:53:29

335

Views

Don't the derivatives of $\arctan x$ and $\operatorname{arccot} x$ imply they're negatives of each other?

Published on 25 Jun 2019 - 3:53

score 128 · Answer 3 · 2019-06-26 18:06:59

128

Views

how do you know when you fully integrated something

Published on 26 Jun 2019 - 18:06

score 97 · Answer 4 · 2019-06-26 19:08:48

97

Views

Show that $\int_{0}^{\pi/2} \frac{\sin x~dx}{1+\sin 2x}=\frac{\coth^{-1} \sqrt{2}}{\sqrt{2}}$

Published on 26 Jun 2019 - 19:08

score 215 · Answer 5 · 2026-03-25 23:39:40

215

Views

Solve integral $\int_0^\infty \frac{1}{\sqrt{x^2+1}(x^2+x+1)}dx$ using substitution $x=\sinh t$

Published on 25 Mar 2026 - 23:39

score 397 · Answer 6 · 2019-07-02 19:17:46

397

Views

Show $\int_0^{\pi/3} \text{tanh}^{-1}(\sin x)\, dx=\frac{2}{3}G$

Published on 02 Jul 2019 - 19:17

score 461 · Answer 7 · 2019-07-07 18:22:16

461

Views

An integral that needs subtitution to be solved.

Published on 07 Jul 2019 - 18:22

score 73 · Answer 8 · 2019-07-09 22:45:14

73

Views

How to evaluate $\int_0^{2\pi}|\sin(x)\cos(x)|\,\mathrm dx$

Published on 09 Jul 2019 - 22:45

score 212 · Answer 9 · 2019-07-10 05:20:56

212

Views

The integral $ \int_{0}^{\pi/4} \frac {\ln (1+\tan x)}{(1+\tan x)^2} dx? $

Published on 10 Jul 2019 - 5:20

score 240 · Answer 10 · 2019-07-19 17:55:10

240

Views

Solve $\int_{-\infty}^{\infty} \text{sech}^2(x-a)\text{sech}^2(x+a)\ \mathrm{d}x$

Published on 19 Jul 2019 - 17:55

score 458 · Answer 11 · 2019-07-23 01:17:01

458

Views

Showing $\int_0^{\pi} \log(2 - 2 \cos x) = 0$.

Published on 23 Jul 2019 - 1:17

score 307 · Answer 12 · 2019-07-24 16:16:16

307

Views

Spivak's Calculus Chapter 15 Problem 13(b) some manipulation of Integral and trigonometric functions

Published on 24 Jul 2019 - 16:16

score 36 · Answer 13 · 2019-07-28 05:34:39

36

Views

How to calculate this definite integral involving trigonometic intergration in a quater period

Published on 28 Jul 2019 - 5:34

score 184 · Answer 14 · 2026-03-28 19:35:55

184

Views

Evaluate the integral $\int\frac{1}{\cos (x)+\cos (\alpha)}dx$

Published on 28 Mar 2026 - 19:35

score 357 · Answer 15 · 2026-03-27 12:28:41

357

Views

Integral of scaled arcsin vs arctan: handling absolute values

Published on 27 Mar 2026 - 12:28

List Question

How to choose a correct contour

Don't the derivatives of $\arctan x$ and $\operatorname{arccot} x$ imply they're negatives of each other?

how do you know when you fully integrated something

Show that $\int_{0}^{\pi/2} \frac{\sin x~dx}{1+\sin 2x}=\frac{\coth^{-1} \sqrt{2}}{\sqrt{2}}$

Solve integral $\int_0^\infty \frac{1}{\sqrt{x^2+1}(x^2+x+1)}dx$ using substitution $x=\sinh t$

Show $\int_0^{\pi/3} \text{tanh}^{-1}(\sin x)\, dx=\frac{2}{3}G$

An integral that needs subtitution to be solved.

How to evaluate $\int_0^{2\pi}|\sin(x)\cos(x)|\,\mathrm dx$

The integral $ \int_{0}^{\pi/4} \frac {\ln (1+\tan x)}{(1+\tan x)^2} dx? $

Solve $\int_{-\infty}^{\infty} \text{sech}^2(x-a)\text{sech}^2(x+a)\ \mathrm{d}x$

Showing $\int_0^{\pi} \log(2 - 2 \cos x) = 0$.

Spivak's Calculus Chapter 15 Problem 13(b) some manipulation of Integral and trigonometric functions

How to calculate this definite integral involving trigonometic intergration in a quater period

Evaluate the integral $\int\frac{1}{\cos (x)+\cos (\alpha)}dx$

Integral of scaled arcsin vs arctan: handling absolute values

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