List questions from indefinite-integrals

Published on 20 Dec 2019 - 6:56

201

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Evaluating $\int \frac{x^2}{1+x^5}dx$

Published on 20 Dec 2019 - 19:41

152

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What's wrong in my calculation of $\int \frac{\sin x}{1 + \sin x} dx$?

Published on 21 Dec 2019 - 0:51

119

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Find $\int\frac{x^2-1}{x^4+x^2+1}dx$

Published on 29 Mar 2026 - 10:18

3.5k

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How to apply the "Tabular Method" of integration by parts when neither $u$ nor $v$ in $\int uv \ dx$ becomes zero on differentiating multiple times?

Published on 22 Dec 2019 - 8:54

198

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

Published on 31 Mar 2026 - 22:46

140

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How to find the antiderivative of the $\sqrt{4-x^2}$?

Published on 24 Dec 2019 - 11:39

115

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What does 'dimensions' in this context even mean?

Published on 24 Dec 2019 - 14:57

137

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Complete solution of $\int x\sqrt{\frac{2\sin(x^2+1)-\sin2(x^2+1)}{2\sin(x^2+1)+\sin2(x^2+1)}}dx$

Published on 25 Dec 2019 - 8:33

130

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

Published on 25 Dec 2019 - 21:49

1k

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Solve $\int \frac{x^4+x^8}{(1-x^4)^{\frac{7}{2}}} \, dx$

Published on 26 Dec 2019 - 1:18

312

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Evaluate $\int \frac1{\left(1+x^4\right)\left(\sqrt{\sqrt{1+x^4}}-x^2\right)}dx$

Published on 26 Dec 2019 - 7:26

33

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Integrating $\cosh^{-3}{x}$

Published on 26 Dec 2019 - 8:17

36

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Evaluating a particular integral

Published on 26 Dec 2019 - 11:30

207

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Indefinite integral of $\frac{\ln(2x)}{x^2+1}$

Published on 27 Dec 2019 - 4:12

List Question

How to evaluate the integral $\int\frac{\sin x+\cos x}{|\sin x+\cos x|}dx$?

Evaluating $\int \frac{x^2}{1+x^5}dx$

What's wrong in my calculation of $\int \frac{\sin x}{1 + \sin x} dx$?

Find $\int\frac{x^2-1}{x^4+x^2+1}dx$

How to apply the "Tabular Method" of integration by parts when neither $u$ nor $v$ in $\int uv \ dx$ becomes zero on differentiating multiple times?

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

How to find the antiderivative of the $\sqrt{4-x^2}$?

What does 'dimensions' in this context even mean?

Complete solution of $\int x\sqrt{\frac{2\sin(x^2+1)-\sin2(x^2+1)}{2\sin(x^2+1)+\sin2(x^2+1)}}dx$

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

Solve $\int \frac{x^4+x^8}{(1-x^4)^{\frac{7}{2}}} \, dx$

Evaluate $\int \frac1{\left(1+x^4\right)\left(\sqrt{\sqrt{1+x^4}}-x^2\right)}dx$

Integrating $\cosh^{-3}{x}$

Evaluating a particular integral

Indefinite integral of $\frac{\ln(2x)}{x^2+1}$

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