Question

Calculate $\int\frac{a}{\sin(x)\sqrt{\sin^2(x)-a^2}}dx$

score 76 · Answer 1 · 2021-06-02 21:00:17

76

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Calculate $\int\frac{a}{\sin(x)\sqrt{\sin^2(x)-a^2}}dx$

Published on 02 Jun 2021 - 21:00

score 139 · Answer 2 · 2021-06-03 01:13:50

139

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Why do we write the rule for integration by substitution in a way that is different from what we're actually doing?

Published on 03 Jun 2021 - 1:13

score 90 · Answer 3 · 2021-06-04 17:49:55

90

Views

How can I quickly perform substitutions in integration?

Published on 04 Jun 2021 - 17:49

score 72 · Answer 4 · 2021-06-06 16:56:23

72

Views

Given that $\int \frac{1}{x\sqrt{x^2-1}}dx=\arccos(\frac{1}{x})+C$, what is $\int\frac{1}{x\sqrt{x^2-a^2}}dx$?

Published on 06 Jun 2021 - 16:56

score 94 · Answer 5 · 2021-06-06 20:03:41

94

Views

Reasoning of step in trigonometric integration by substitution question

Published on 06 Jun 2021 - 20:03

score 28 · Answer 6 · 2021-06-07 09:07:16

28

Views

Integral substitution for Maxwells perfect gas as a pdf

Published on 07 Jun 2021 - 9:07

score 36 · Answer 7 · 2021-06-10 12:33:03

36

Views

Show that $\int_{\pi/2}^{3\pi/2}\frac{e^{\alpha+Re^{i\theta}}}{(\alpha+Re^{i\theta})^p}iRe^{i\theta}d\theta \to 0$ as $R\to\infty$, for $\alpha, p>0$?

Published on 10 Jun 2021 - 12:33

score 84 · Answer 8 · 2021-06-13 21:59:28

84

Views

Differential Equation - I'm missing something stupid

Published on 13 Jun 2021 - 21:59

score 1.1k · Answer 9 · 2021-06-20 19:27:03

1.1k

Views

A question on integration of $x-a$

Published on 20 Jun 2021 - 19:27

score 348 · Answer 10 · 2021-07-07 04:11:11

348

Views

Derivative of an integral with change of variable.

Published on 07 Jul 2021 - 4:11

score 39 · Answer 11 · 2026-03-25 23:20:46

39

Views

Substitution Rule for Contour Integral of Meromorphic Function

Published on 25 Mar 2026 - 23:20

score 124 · Answer 12 · 2026-03-27 04:04:54

124

Views

Integration by rational substitution

Published on 27 Mar 2026 - 4:04

score 96 · Answer 13 · 2021-07-12 16:07:39

96

Views

Integration by parts or substitution

Published on 12 Jul 2021 - 16:07

score 60 · Answer 14 · 2021-07-15 08:11:11

60

Views

Find the following integral $\int\sqrt{x^2+1} dx.$ Please complete my solution.

Published on 15 Jul 2021 - 8:11

score 209 · Answer 15 · 2021-07-15 15:57:30

209

Views

A mystery of $\int \frac{1}{a^2\cos^2{x}+b^2\sin^2{x}} dx$

Published on 15 Jul 2021 - 15:57

List Question

Calculate $\int\frac{a}{\sin(x)\sqrt{\sin^2(x)-a^2}}dx$

Why do we write the rule for integration by substitution in a way that is different from what we're actually doing?

How can I quickly perform substitutions in integration?

Given that $\int \frac{1}{x\sqrt{x^2-1}}dx=\arccos(\frac{1}{x})+C$, what is $\int\frac{1}{x\sqrt{x^2-a^2}}dx$?

Reasoning of step in trigonometric integration by substitution question

Integral substitution for Maxwells perfect gas as a pdf

Show that $\int_{\pi/2}^{3\pi/2}\frac{e^{\alpha+Re^{i\theta}}}{(\alpha+Re^{i\theta})^p}iRe^{i\theta}d\theta \to 0$ as $R\to\infty$, for $\alpha, p>0$?

Differential Equation - I'm missing something stupid

A question on integration of $x-a$

Derivative of an integral with change of variable.

Substitution Rule for Contour Integral of Meromorphic Function

Integration by rational substitution

Integration by parts or substitution

Find the following integral $\int\sqrt{x^2+1} dx.$ Please complete my solution.

A mystery of $\int \frac{1}{a^2\cos^2{x}+b^2\sin^2{x}} dx$

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