Question

Can trigonometric substitution be used to solve this integral?

score 87 · Answer 1 · 2026-04-10 23:26:32

87

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Can trigonometric substitution be used to solve this integral?

Published on 10 Apr 2026 - 23:26

score 81 · Answer 2 · 2026-04-13 23:38:03

81

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When is $\int\frac{dx}{\sqrt{a-bx^n-x^2}}$ solvable in terms of elementary functions and why?

Published on 13 Apr 2026 - 23:38

score 83 · Answer 3 · 2026-04-14 17:35:05

83

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Determine $\int f\; d\lambda^2$ for a measurable function

Published on 14 Apr 2026 - 17:35

score 61 · Answer 4 · 2026-04-11 09:29:37

61

Views

Extract function from integrating by parts

Published on 11 Apr 2026 - 9:29

score 142 · Answer 5 · 2026-04-13 15:23:14

142

Views

Why do the antiderivatives of $y=1$ follow $e^{x}$?

Published on 13 Apr 2026 - 15:23

score 146 · Answer 6 · 2026-04-10 16:53:03

146

Views

What are some similarities between the MRB constant and its integrated analog?

Published on 10 Apr 2026 - 16:53

score 848 · Answer 7 · 2026-04-12 09:20:02

848

Views

changing the order of integration in the infinite integrals

Published on 12 Apr 2026 - 9:20

score 143 · Answer 8 · 2026-04-13 03:55:41

143

Views

How to get original $f(x,y)$ with partial derivatives $f_x(x,y)$?

Published on 13 Apr 2026 - 3:55

score 100 · Answer 9 · 2026-04-15 01:06:39

100

Views

How to show that $\int_0^\infty\frac{x}{1-x^2}dx$ indefinite?

Published on 15 Apr 2026 - 1:06

score 56 · Answer 10 · 2026-04-09 08:37:54

56

Views

Is there a quick effective method to figure out the best possible substitution to perform indefinite integration?

Published on 09 Apr 2026 - 8:37

score 61 · Answer 11 · 2026-04-11 20:11:43

61

Views

How do I take the derivative of integral with respect to a function?

Published on 11 Apr 2026 - 20:11

score 459 · Answer 12 · 2026-05-05 15:48:01

459

Views

Integrating $\int_0^{2\pi}e^{\cos{(x)}}\cos{(\sin{(x)})}\,dx$. Antiderivative evaluates out to be $0$ when it clearly isn't.

Published on 05 May 2026 - 15:48

score 141 · Answer 13 · 2026-04-16 05:49:00

141

Views

Compute $\lim_{n\to\infty}\int_0^n\frac{f(\frac{x}{n})}{1+x^2}dx$

Published on 16 Apr 2026 - 5:49

score 459 · Answer 14 · 2026-04-17 07:39:45

459

Views

Crazy $\int_0^{\frac\pi{2}}\frac {\cos\left((1-2n)\arcsin\left(\frac{\sin(\theta)}{\sqrt 2}\right)\right)}{\sqrt{1-\frac{\sin^2 \theta}{2}}}d\theta$

Published on 17 Apr 2026 - 7:39

score 174 · Answer 15 · 2026-04-14 18:32:00

174

Views

How should I solve $ \int \frac{e^{2x-\frac {x^2}{4}}}{({x+4})^{8}}\, dx $?

Published on 14 Apr 2026 - 18:32

List Question

Can trigonometric substitution be used to solve this integral?

When is $\int\frac{dx}{\sqrt{a-bx^n-x^2}}$ solvable in terms of elementary functions and why?

Determine $\int f\; d\lambda^2$ for a measurable function

Extract function from integrating by parts

Why do the antiderivatives of $y=1$ follow $e^{x}$?

What are some similarities between the MRB constant and its integrated analog?

changing the order of integration in the infinite integrals

How to get original $f(x,y)$ with partial derivatives $f_x(x,y)$?

How to show that $\int_0^\infty\frac{x}{1-x^2}dx$ indefinite?

Is there a quick effective method to figure out the best possible substitution to perform indefinite integration?

How do I take the derivative of integral with respect to a function?

Integrating $\int_0^{2\pi}e^{\cos{(x)}}\cos{(\sin{(x)})}\,dx$. Antiderivative evaluates out to be $0$ when it clearly isn't.

Compute $\lim_{n\to\infty}\int_0^n\frac{f(\frac{x}{n})}{1+x^2}dx$

Crazy $\int_0^{\frac\pi{2}}\frac {\cos\left((1-2n)\arcsin\left(\frac{\sin(\theta)}{\sqrt 2}\right)\right)}{\sqrt{1-\frac{\sin^2 \theta}{2}}}d\theta$

How should I solve $ \int \frac{e^{2x-\frac {x^2}{4}}}{({x+4})^{8}}\, dx $?

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