Question

Definite integration technique

score 49 · Answer 1 · 2020-12-07 12:44:07

49

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Definite integration technique

Published on 07 Dec 2020 - 12:44

score 55 · Answer 2 · 2026-04-01 02:02:53

55

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Can we do u-substitution $\frac{1}{a}$ instead of $\frac{1}{\lvert a \rvert}$ while proving scaling property of differential entropy?

Published on 01 Apr 2026 - 2:02

score 350 · Answer 3 · 2026-03-30 05:11:17

350

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Integrating $\text{sech}(x)$ using a hyperbolic substitution method

Published on 30 Mar 2026 - 5:11

score 78 · Answer 4 · 2020-12-10 14:51:00

78

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How to integrate a rational function with large powers of sine and cosine with no elementary anti-derivative of this.

Published on 10 Dec 2020 - 14:51

score 192 · Answer 5 · 2020-12-10 22:30:12

192

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Impossible integral? $\int_0^{\pi/2}\frac{\sin^2(x)}{\sqrt{x^2+(\pi/2-x)^2}}$

Published on 10 Dec 2020 - 22:30

score 751 · Answer 6 · 2020-12-11 15:24:49

751

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$T(n) = nT(n/2) ,T(1)=1$ How can I solve this with backward subsitituon?

Published on 11 Dec 2020 - 15:24

score 87 · Answer 7 · 2026-04-02 20:55:35

87

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Problem's solving the integral $\int_0^\infty \frac{1} {x^{1/3}(x+a)} dx$ where a is a constant

Published on 02 Apr 2026 - 20:55

score 191 · Answer 8 · 2020-12-12 08:05:43

191

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Finding $\int \frac {e^x \sqrt{e^x - 1}}{e^x+3}\,dx$ by substituting $t^2=e^x-1$

Published on 12 Dec 2020 - 8:05

score 34 · Answer 9 · 2020-12-14 04:51:11

34

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About substitution In integrals

Published on 14 Dec 2020 - 4:51

score 124 · Answer 10 · 2020-12-19 06:20:22

124

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

Published on 19 Dec 2020 - 6:20

score 113 · Answer 11 · 2020-12-20 20:45:44

113

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Substitution of Complex Variable in integral

Published on 20 Dec 2020 - 20:45

score 181 · Answer 12 · 2020-12-23 13:10:40

181

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The easiest way possible to evaluate $\int_{}^{}\frac{\ln{(\cos{x})}}{1-\cos{x}}dx$

Published on 23 Dec 2020 - 13:10

score 114 · Answer 13 · 2020-12-24 06:56:28

114

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$ \int_{-\infty}^{+\infty}\sin(x^2)\cos2\alpha x \, \mathrm{d}x $

Published on 24 Dec 2020 - 6:56

score 80 · Answer 14 · 2020-12-24 11:01:59

80

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Evaluare $I(y)=\int_0^1\frac{1}{y+\cos(x)}dx$. Hence determine $J(y)=\int_0^1\frac{1}{(y+\cos(x))^2}dx$

Published on 24 Dec 2020 - 11:01

score 85 · Answer 15 · 2020-12-25 03:42:41

85

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help with differential equation using substitution

Published on 25 Dec 2020 - 3:42

List Question

Definite integration technique

Can we do u-substitution $\frac{1}{a}$ instead of $\frac{1}{\lvert a \rvert}$ while proving scaling property of differential entropy?

Integrating $\text{sech}(x)$ using a hyperbolic substitution method

How to integrate a rational function with large powers of sine and cosine with no elementary anti-derivative of this.

Impossible integral? $\int_0^{\pi/2}\frac{\sin^2(x)}{\sqrt{x^2+(\pi/2-x)^2}}$

$T(n) = nT(n/2) ,T(1)=1$ How can I solve this with backward subsitituon?

Problem's solving the integral $\int_0^\infty \frac{1} {x^{1/3}(x+a)} dx$ where a is a constant

Finding $\int \frac {e^x \sqrt{e^x - 1}}{e^x+3}\,dx$ by substituting $t^2=e^x-1$

About substitution In integrals

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

Substitution of Complex Variable in integral

The easiest way possible to evaluate $\int_{}^{}\frac{\ln{(\cos{x})}}{1-\cos{x}}dx$

$ \int_{-\infty}^{+\infty}\sin(x^2)\cos2\alpha x \, \mathrm{d}x $

Evaluare $I(y)=\int_0^1\frac{1}{y+\cos(x)}dx$. Hence determine $J(y)=\int_0^1\frac{1}{(y+\cos(x))^2}dx$

help with differential equation using substitution

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