List questions from indefinite-integrals

Published on 30 Mar 2026 - 1:12

69

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Where am I going wrong with the integral $\int\frac{1}{\sqrt{1-x^2}}dx$?

Published on 16 Mar 2020 - 13:02

140

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Integral of $\int \sin^2x\cos^4xdx$

Published on 17 Mar 2020 - 5:35

73

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How to approach $\int \frac{dx}{\sqrt{x^2+4x+13}}$

Published on 21 Mar 2020 - 12:04

112

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Cauchy-Type integral

Published on 29 Mar 2026 - 22:36

37

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Why does this expectation equality hold?

Published on 21 Mar 2020 - 14:49

109

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Why doesn't substitution using $2\sin^2x$ work?

Published on 23 Mar 2020 - 15:30

164

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Is $\int \exp(x \exp(x)) dx$ a well-known integral?

Published on 31 Mar 2026 - 5:05

113

Views

proving an integral-defined function is differentiable?

Published on 30 Mar 2026 - 1:15

79

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Easy partial fraction decomposition

Published on 26 Mar 2020 - 13:32

57

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Evaluate $\int\sqrt{4x^2+8x}dx$ using $\int\sqrt{u^2-a^2}dx=\frac u2\sqrt{u^2-a^2}-\frac{a^2}{2}\ln|u+\sqrt{u^2-a^2}|+C.$

Published on 26 Mar 2020 - 20:29

54

Views

Indefinite Integral involving infinite series

Published on 27 Mar 2020 - 12:32

135

Views

Evaluate $\displaystyle \int\dfrac{dx}{\sqrt[3]{(x+1)^2(x-1)^4}}$

Published on 27 Mar 2020 - 13:30

244

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Evaluating $\int\prod_{i=1}^{n}(x-a_i)^{b_i}\mathrm dx$ using generalised Newton's binomial theorem

Published on 30 Mar 2026 - 6:10

162

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Which solution to the integral $\int \frac {dx}{x \sqrt {x^2-1}}$ is correct and why?

Published on 27 Mar 2020 - 23:16

List Question

Why is $\int_{0}^{\infty} e^{-x}x^kdx = k!$?

Where am I going wrong with the integral $\int\frac{1}{\sqrt{1-x^2}}dx$?

Integral of $\int \sin^2x\cos^4xdx$

How to approach $\int \frac{dx}{\sqrt{x^2+4x+13}}$

Cauchy-Type integral

Why does this expectation equality hold?

Why doesn't substitution using $2\sin^2x$ work?

Is $\int \exp(x \exp(x)) dx$ a well-known integral?

proving an integral-defined function is differentiable?

Easy partial fraction decomposition

Evaluate $\int\sqrt{4x^2+8x}dx$ using $\int\sqrt{u^2-a^2}dx=\frac u2\sqrt{u^2-a^2}-\frac{a^2}{2}\ln|u+\sqrt{u^2-a^2}|+C.$

Indefinite Integral involving infinite series

Evaluate $\displaystyle \int\dfrac{dx}{\sqrt[3]{(x+1)^2(x-1)^4}}$

Evaluating $\int\prod_{i=1}^{n}(x-a_i)^{b_i}\mathrm dx$ using generalised Newton's binomial theorem

Which solution to the integral $\int \frac {dx}{x \sqrt {x^2-1}}$ is correct and why?

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