Question

Issues with integrating $\int x^2 \sqrt{x^3 +1}$ via integration by parts

score 204 · Answer 1 · 2026-04-15 18:14:25

204

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Issues with integrating $\int x^2 \sqrt{x^3 +1}$ via integration by parts

Published on 15 Apr 2026 - 18:14

score 179 · Answer 2 · 2026-04-13 16:01:21

179

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Is it really complex $\int \frac{dx}{\sqrt{1-\sin(2x)}}$

Published on 13 Apr 2026 - 16:01

score 253 · Answer 3 · 2026-04-16 03:00:22

253

Views

Reduction of elliptic integrals to Legendre's normal form

Published on 16 Apr 2026 - 3:00

score 127 · Answer 4 · 2026-04-15 09:51:41

127

Views

How to evaluate the integral $\int_{-\infty}^{\infty} \frac{e^{-\frac{x^2}{2}}}{1 + e^{-x}} dx$?

Published on 15 Apr 2026 - 9:51

score 42 · Answer 5 · 2026-04-13 21:54:57

42

Views

How can I check whether the solution $y=1$ to the integral equation $1=\int_a^b y^{1 / x} f(x) \ \mathrm{d}x\,, $ is unique?

Published on 13 Apr 2026 - 21:54

score 479 · Answer 6 · 2026-04-13 11:52:12

479

Views

Is it wrong to use absolute value brackets instead of brackets if the value inside it is always positive?

Published on 13 Apr 2026 - 11:52

score 89 · Answer 7 · 2026-04-17 18:03:04

89

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Evaluate integral: $\int\frac{C^2}{P^3-P^2C-QC^3} dC$, given $P,Q > 0$

Published on 17 Apr 2026 - 18:03

score 83 · Answer 8 · 2026-04-15 09:04:32

83

Views

How to prove that the integral $\int_{0}^\infty \left[1-\frac{dT}{(Q-1)[(e^{T}-1)(F-1)G-1]}\right]$ does not converge?

Published on 15 Apr 2026 - 9:04

score 263 · Answer 9 · 2026-04-15 14:05:57

263

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Is it hard to evaluate $\int \frac{x^{3}+1}{x^{6}+1} d x$?

Published on 15 Apr 2026 - 14:05

score 102 · Answer 10 · 2026-04-16 20:01:12

102

Views

Evaluate the indefinite integral $\int \frac{ \sqrt{x+1} }{x} \,\mathrm dx$

Published on 16 Apr 2026 - 20:01

score 109 · Answer 11 · 2026-04-16 13:36:34

109

Views

Differential Equation $y’ =e^{x+y} +x^2$

Published on 16 Apr 2026 - 13:36

score 187 · Answer 12 · 2026-04-10 08:02:35

187

Views

Does someone know a way to solve this integral analytically?

Published on 10 Apr 2026 - 8:02

score 134 · Answer 13 · 2026-04-16 21:50:25

134

Views

Asymptotic behavior of $ \int^\infty_{-\infty} \frac{x^2 \exp(-(x-a)^2)}{1+Aa^{-1}\exp(-x^2/(1+a^2))} dx$ as $a\to 0$

Published on 16 Apr 2026 - 21:50

score 71 · Answer 14 · 2026-04-14 16:40:35

71

Views

How many method are there to handle the integral $\int \frac{\sin x}{1-\sin x \cos x} d x$

Published on 14 Apr 2026 - 16:40

score 102 · Answer 15 · 2026-04-13 21:09:44

102

Views

Do you get another method for $\int \frac{\sin x}{\sin 5 x}dx$?

Published on 13 Apr 2026 - 21:09

List Question

Issues with integrating $\int x^2 \sqrt{x^3 +1}$ via integration by parts

Is it really complex $\int \frac{dx}{\sqrt{1-\sin(2x)}}$

Reduction of elliptic integrals to Legendre's normal form

How to evaluate the integral $\int_{-\infty}^{\infty} \frac{e^{-\frac{x^2}{2}}}{1 + e^{-x}} dx$?

How can I check whether the solution $y=1$ to the integral equation $1=\int_a^b y^{1 / x} f(x) \ \mathrm{d}x\,, $ is unique?

Is it wrong to use absolute value brackets instead of brackets if the value inside it is always positive?

Evaluate integral: $\int\frac{C^2}{P^3-P^2C-QC^3} dC$, given $P,Q > 0$

How to prove that the integral $\int_{0}^\infty \left[1-\frac{dT}{(Q-1)[(e^{T}-1)(F-1)G-1]}\right]$ does not converge?

Is it hard to evaluate $\int \frac{x^{3}+1}{x^{6}+1} d x$?

Evaluate the indefinite integral $\int \frac{ \sqrt{x+1} }{x} \,\mathrm dx$

Differential Equation $y’ =e^{x+y} +x^2$

Does someone know a way to solve this integral analytically?

Asymptotic behavior of $ \int^\infty_{-\infty} \frac{x^2 \exp(-(x-a)^2)}{1+Aa^{-1}\exp(-x^2/(1+a^2))} dx$ as $a\to 0$

How many method are there to handle the integral $\int \frac{\sin x}{1-\sin x \cos x} d x$

Do you get another method for $\int \frac{\sin x}{\sin 5 x}dx$?

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