Question

Why integration by long division gives different answer than using u substitution?

score 356 · Answer 1 · 2019-11-27 07:09:54

356

Views

Why integration by long division gives different answer than using u substitution?

Published on 27 Nov 2019 - 7:09

score 129 · Answer 2 · 2026-03-25 23:39:41

129

Views

A solution for the integral $\int \frac{\sqrt[3]{x} }{\sqrt[3]{x^2} -\sqrt{x} } dx $ and WA's "invalid input".

Published on 25 Mar 2026 - 23:39

score 5.3k · Answer 3 · 2026-02-23 22:17:33

5.3k

Views

Getting different answers when integrating using different techniques

Published on 23 Feb 2026 - 22:17

score 54 · Answer 4 · 2019-11-28 03:21:29

54

Views

Does $-2 \int (\cos^2\,x-\sin^2\,x)\,\sin\,2x\,dx$ have multiple answers?

Published on 28 Nov 2019 - 3:21

score 80 · Answer 5 · 2026-03-31 18:19:30

80

Views

(Solvable?) System of differential equations

Published on 31 Mar 2026 - 18:19

score 2.7k · Answer 6 · 2019-12-01 06:34:06

2.7k

Views

How to integrate $\int\cos^4(x)\sin^6(x)\ dx$

Published on 01 Dec 2019 - 6:34

score 205 · Answer 7 · 2026-03-29 14:18:43

205

Views

Integral of even complex valued functions

Published on 29 Mar 2026 - 14:18

score 141 · Answer 8 · 2019-12-03 02:00:24

141

Views

How to evaluate the indefinite integral $\int\frac{1+x^2}{(1-x^2)(\sqrt 1+x^4)} dx$ in simplest form?

Published on 03 Dec 2019 - 2:00

score 91 · Answer 9 · 2019-12-03 07:00:57

91

Views

How to know whether the solution of an indefinite integral can be written in the form of elementary functions or not?

Published on 03 Dec 2019 - 7:00

score 101 · Answer 10 · 2019-12-03 12:53:42

101

Views

How to calculate $\int\frac{x}{ax+b}$ dx

Published on 03 Dec 2019 - 12:53

score 22 · Answer 11 · 2019-12-03 14:57:17

22

Views

Evaluate the definite integral $\int_{-2}^0 \frac3{\sqrt{-x^2-2x}}\ dx.$

Published on 03 Dec 2019 - 14:57

score 89 · Answer 12 · 2019-12-04 04:49:26

89

Views

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

Published on 04 Dec 2019 - 4:49

score 48 · Answer 13 · 2019-12-04 14:39:45

48

Views

Question about this integral $\int \left| g\left( y\right) \right| \int \left| f\left( x-y\right) \right| dx\,dy$

Published on 04 Dec 2019 - 14:39

score 383 · Answer 14 · 2019-12-05 14:11:09

383

Views

Solve: $\int \frac{\cos x}{x} dx$

Published on 05 Dec 2019 - 14:11

score 55 · Answer 15 · 2019-12-05 19:30:20

55

Views

How can I evaluate $\int \frac1{2 + \sqrt{x + 1}} dx$?

Published on 05 Dec 2019 - 19:30

List Question

Why integration by long division gives different answer than using u substitution?

A solution for the integral $\int \frac{\sqrt[3]{x} }{\sqrt[3]{x^2} -\sqrt{x} } dx $ and WA's "invalid input".

Getting different answers when integrating using different techniques

Does $-2 \int (\cos^2\,x-\sin^2\,x)\,\sin\,2x\,dx$ have multiple answers?

(Solvable?) System of differential equations

How to integrate $\int\cos^4(x)\sin^6(x)\ dx$

Integral of even complex valued functions

How to evaluate the indefinite integral $\int\frac{1+x^2}{(1-x^2)(\sqrt 1+x^4)} dx$ in simplest form?

How to know whether the solution of an indefinite integral can be written in the form of elementary functions or not?

How to calculate $\int\frac{x}{ax+b}$ dx

Evaluate the definite integral $\int_{-2}^0 \frac3{\sqrt{-x^2-2x}}\ dx.$

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

Question about this integral $\int \left| g\left( y\right) \right| \int \left| f\left( x-y\right) \right| dx\,dy$

Solve: $\int \frac{\cos x}{x} dx$

How can I evaluate $\int \frac1{2 + \sqrt{x + 1}} dx$?

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