List questions from indefinite-integrals

Published on 17 Jul 2016 - 9:43

128

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integrate $\int \frac{x^4-16}{x^3+4x^2+8x}dx$

Published on 18 Jul 2016 - 14:46

298

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Solve $ \int{x\sin^2(x)}\ dx$

Published on 19 Jul 2016 - 12:17

182

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Integrate $\int \frac{(1-x)^2 \cdot e^x}{(1+x^2)^2}dx$

Published on 02 Apr 2026 - 17:19

6.7k

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Integrate the following: $\int \frac {\log x}{\sqrt {1-x^2}}\,dx$

Published on 20 Jul 2016 - 4:31

113

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How to integrate $\int \frac{3+2\cos x}{(2+3\cos x)^2}{dx}$ via substitution?

Published on 28 Mar 2026 - 15:20

152

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Another (perhaps tricky) integral.

Published on 21 Jul 2016 - 14:16

299

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Another way to evaluate $\int\frac{\cos5x+\cos4x}{1-2\cos3x}{dx}$?

Published on 31 Mar 2026 - 20:29

509

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solution of the ODE $u du =ydx+xdy$

Published on 25 Jul 2016 - 9:43

124

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How to solve $\int \frac{1}{x^2+4x+7} dx$?

Published on 25 Jul 2016 - 17:13

195

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Relation of not solvable indefinite Integrals to the Galois theory?

Published on 26 Jul 2016 - 11:44

91

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What approach should I use to solve integrals like this?

Published on 26 Jul 2016 - 14:39

1.5k

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Integral $\int \frac{dx}{\tan x + \cot x + \csc x + \sec x}$

Published on 28 Mar 2026 - 15:25

226

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Power Rule for Indefinite Integrals

Published on 27 Jul 2016 - 3:38

53

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Why do I get two answer when calculating this integral from two ways?

Published on 27 Jul 2016 - 8:06

List Question

Why $C=1$ in indefinite integral $\int{\sin x\,\mathrm{d}x}$

integrate $\int \frac{x^4-16}{x^3+4x^2+8x}dx$

Solve $ \int{x\sin^2(x)}\ dx$

Integrate $\int \frac{(1-x)^2 \cdot e^x}{(1+x^2)^2}dx$

Integrate the following: $\int \frac {\log x}{\sqrt {1-x^2}}\,dx$

How to integrate $\int \frac{3+2\cos x}{(2+3\cos x)^2}{dx}$ via substitution?

Another (perhaps tricky) integral.

Another way to evaluate $\int\frac{\cos5x+\cos4x}{1-2\cos3x}{dx}$?

solution of the ODE $u du =ydx+xdy$

How to solve $\int \frac{1}{x^2+4x+7} dx$?

Relation of not solvable indefinite Integrals to the Galois theory?

What approach should I use to solve integrals like this?

Integral $\int \frac{dx}{\tan x + \cot x + \csc x + \sec x}$

Power Rule for Indefinite Integrals

Why do I get two answer when calculating this integral from two ways?

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