Question

Recreational: take power into integral

score 131 · Answer 1 · 2018-05-05 23:01:43

131

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Recreational: take power into integral

Published on 05 May 2018 - 23:01

score 115 · Answer 2 · 2018-05-06 14:09:20

115

Views

How do I evaluate the following integrals?

Published on 06 May 2018 - 14:09

score 128 · Answer 3 · 2018-05-06 19:00:19

128

Views

Evaluate $\int \frac{e^{2x}-1}{e^{2x}+1}dx$ using partial fractions

Published on 06 May 2018 - 19:00

score 94 · Answer 4 · 2018-05-07 05:16:57

94

Views

Calculate the definite integral between $x = a$ and $x = 0$ for $x\sqrt{a^2-x^2}$, where $a$ is some fixed positive real number.

Published on 07 May 2018 - 5:16

score 835 · Answer 5 · 2018-05-07 15:05:40

835

Views

Integration of $\sec^4 x$

Published on 07 May 2018 - 15:05

score 50 · Answer 6 · 2018-05-10 06:08:14

50

Views

How to perform the integration of a root of a non polynomial?

Published on 10 May 2018 - 6:08

score 179 · Answer 7 · 2018-05-11 19:59:31

179

Views

"Correct antiderivative" for the integral $\int 2e^{\tan^{-1}x+x^2+\ln x}\left(2+\frac{2x^3+2x+1}{x+1/x}\right) dx$

Published on 11 May 2018 - 19:59

score 100 · Answer 8 · 2026-03-25 04:42:58

100

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First step for $\int\frac{\operatorname{gd}\left(\log x\right)}{\sqrt{1-x^2}}dx$, where $\operatorname{gd}(x)$ denotes the Gudermannian function

Published on 25 Mar 2026 - 4:42

score 1.6k · Answer 9 · 2018-05-13 14:36:51

1.6k

Views

Evaluate $\int \frac {dx}{\sin \frac x2\sqrt {\cos^3 \frac x2}}$

Published on 13 May 2018 - 14:36

score 84 · Answer 10 · 2018-05-13 17:06:03

84

Views

Is this Evaluation of definite Integral correct?

Published on 13 May 2018 - 17:06

score 303 · Answer 11 · 2026-03-25 06:27:46

303

Views

Integrate $\sin^{-1}\frac{2x}{1+x^2}$

Published on 25 Mar 2026 - 6:27

score 8.9k · Answer 12 · 2018-05-15 11:32:53

8.9k

Views

How to find the indefinite integral of sin(sin(x))dx?

Published on 15 May 2018 - 11:32

score 103 · Answer 13 · 2018-05-16 15:22:32

103

Views

how to compute $\int {\ln^2 {(1+x^2)}}\, dx$?

Published on 16 May 2018 - 15:22

score 131 · Answer 14 · 2018-05-16 16:28:10

131

Views

How to prove the closed form of the integral $\int \frac {dx}{\prod_{r=0}^n (x+r)}$

Published on 16 May 2018 - 16:28

score 138 · Answer 15 · 2018-05-17 04:02:54

138

Views

How can I divine the trick of multiplying $\sec x$ by $\dfrac{\tan(x)+\sec(x)}{\tan(x)+\sec(x)}$?

Published on 17 May 2018 - 4:02

List Question

Recreational: take power into integral

How do I evaluate the following integrals?

Evaluate $\int \frac{e^{2x}-1}{e^{2x}+1}dx$ using partial fractions

Calculate the definite integral between $x = a$ and $x = 0$ for $x\sqrt{a^2-x^2}$, where $a$ is some fixed positive real number.

Integration of $\sec^4 x$

How to perform the integration of a root of a non polynomial?

"Correct antiderivative" for the integral $\int 2e^{\tan^{-1}x+x^2+\ln x}\left(2+\frac{2x^3+2x+1}{x+1/x}\right) dx$

First step for $\int\frac{\operatorname{gd}\left(\log x\right)}{\sqrt{1-x^2}}dx$, where $\operatorname{gd}(x)$ denotes the Gudermannian function

Evaluate $\int \frac {dx}{\sin \frac x2\sqrt {\cos^3 \frac x2}}$

Is this Evaluation of definite Integral correct?

Integrate $\sin^{-1}\frac{2x}{1+x^2}$

How to find the indefinite integral of sin(sin(x))dx?

how to compute $\int {\ln^2 {(1+x^2)}}\, dx$?

How to prove the closed form of the integral $\int \frac {dx}{\prod_{r=0}^n (x+r)}$

How can I divine the trick of multiplying $\sec x$ by $\dfrac{\tan(x)+\sec(x)}{\tan(x)+\sec(x)}$?

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