List questions from indefinite-integrals

Published on 14 Aug 2015 - 11:05

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Integration by Parts Question: Integrate $x^3e^x$

Published on 15 Apr 2026 - 12:22

99

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Need answer to a basic indefinite integral

Published on 14 Apr 2026 - 20:49

218

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Another integral $\int \frac{3 x^2+2 x+1}{ \left(x^3+x^2+x+2\right) \sqrt{1+\sqrt{x^3+x^2+x+2}}} \, dx$

Published on 17 Aug 2015 - 15:59

226

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Did Wolfram|Alpha mess up $\int 1 - \frac{1}{1-e^{-x}} \mathrm{d}x$ or did I?

Published on 15 Apr 2026 - 1:04

165

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Find $\int \frac{\sqrt{1-x^2}}{1+x^2}\hspace{1mm}dx$

Published on 17 Aug 2015 - 20:29

87

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Integration with $\sin()$ and $\cos()$

Published on 13 Apr 2026 - 2:21

77

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Prove that $(2n+1)k_{n+1}=(2n+1)k_{n}+\cos^{2n+1} (x)$

Published on 14 Apr 2026 - 19:34

483

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Evaluation of $\int\frac{x^7+2}{\left(x^2+x+1\right)^2}dx$

Published on 19 Aug 2015 - 14:53

459

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$\int\frac{1+x^2}{x^4+3x^3+3x^2-3x+1}dx$

Published on 20 Aug 2015 - 15:04

11.3k

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Integrating $\int \sqrt{x+\sqrt{x^2+1}}\,\mathrm{d}x$

Published on 14 Apr 2026 - 20:12

389

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Why can I use Fubini' theorem on this function?

Published on 12 Apr 2026 - 11:58

357

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Evaluating $\int \frac{\sin\left(x\right)}{1+x^2}dx$

Published on 22 Aug 2015 - 15:32

157

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Integrating $\frac{1}{(x^4 -1)^2}$

Published on 15 Apr 2026 - 8:30

92

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Integrate the following problems

Published on 10 Apr 2026 - 18:11

List Question

Finding $\int 2t\sqrt{4\sin^2(t) + 9\cos^2(t) + 4}\,dt$

Integration by Parts Question: Integrate $x^3e^x$

Need answer to a basic indefinite integral

Another integral $\int \frac{3 x^2+2 x+1}{ \left(x^3+x^2+x+2\right) \sqrt{1+\sqrt{x^3+x^2+x+2}}} \, dx$

Did Wolfram|Alpha mess up $\int 1 - \frac{1}{1-e^{-x}} \mathrm{d}x$ or did I?

Find $\int \frac{\sqrt{1-x^2}}{1+x^2}\hspace{1mm}dx$

Integration with $\sin()$ and $\cos()$

Prove that $(2n+1)k_{n+1}=(2n+1)k_{n}+\cos^{2n+1} (x)$

Evaluation of $\int\frac{x^7+2}{\left(x^2+x+1\right)^2}dx$

$\int\frac{1+x^2}{x^4+3x^3+3x^2-3x+1}dx$

Integrating $\int \sqrt{x+\sqrt{x^2+1}}\,\mathrm{d}x$

Why can I use Fubini' theorem on this function?

Evaluating $\int \frac{\sin\left(x\right)}{1+x^2}dx$

Integrating $\frac{1}{(x^4 -1)^2}$

Integrate the following problems

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