List questions from indefinite-integrals

Published on 23 May 2019 - 5:41

135

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Evaluate $ \int \frac{x^4}{(2-x^2)^{3/2}}dx$

Published on 23 May 2019 - 5:58

196

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Evaluate $\int \frac{dx}{\sqrt{\frac{1}{x}-\frac{1}{a}}}$

Published on 23 May 2019 - 6:49

101

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Suppose that the average value on all intervals $[a,b]$ is equal to $f((a+b)/2)$. Prove that $f''(x) = 0$ for all $x \in \mathbb{R}$

Published on 23 May 2019 - 21:14

57

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Why doesn't a constant appear when solving $\int{e^x \sin(x)dx}$?

Published on 27 May 2019 - 17:01

113

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Integrate $\int \frac{dx}{a\sin x+b\cos x}$

Published on 27 May 2019 - 18:46

109

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Difference in my and wolfram's integration.

Published on 26 Mar 2026 - 18:30

215

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Evaluate $ \int \frac{a^2\cos^2x+b^2\sin^2x}{a^4\cos^2x+b^4\sin^2x}\,dx$

Published on 26 Mar 2026 - 18:40

245

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Symbolic approximation through integration by parts

Published on 25 Mar 2026 - 1:21

184

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What's $ \int \frac{1}{2+\cos 2x}dx$ on earth?

Published on 02 Jun 2019 - 7:14

79

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Mistake in evaluating the secant integral?

Published on 02 Jun 2019 - 14:47

86

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Evaluate $\int \frac{1}{1+3\sin^2 x} dx$ (Making antiderivative continuous.)

Published on 02 Jun 2019 - 16:33

99

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Verifying an indefinite integral solution

Published on 03 Jun 2019 - 5:17

150

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Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$

Published on 03 Jun 2019 - 12:26

1.3k

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How to integrate $\sqrt{\arctan(x)}$

Published on 09 Jun 2019 - 10:45

List Question

Evaluate $\int \frac{dx}{\left(\frac{1}{x}-\frac{1}{a}\right)}$

Evaluate $ \int \frac{x^4}{(2-x^2)^{3/2}}dx$

Evaluate $\int \frac{dx}{\sqrt{\frac{1}{x}-\frac{1}{a}}}$

Suppose that the average value on all intervals $[a,b]$ is equal to $f((a+b)/2)$. Prove that $f''(x) = 0$ for all $x \in \mathbb{R}$

Why doesn't a constant appear when solving $\int{e^x \sin(x)dx}$?

Integrate $\int \frac{dx}{a\sin x+b\cos x}$

Difference in my and wolfram's integration.

Evaluate $ \int \frac{a^2\cos^2x+b^2\sin^2x}{a^4\cos^2x+b^4\sin^2x}\,dx$

Symbolic approximation through integration by parts

What's $ \int \frac{1}{2+\cos 2x}dx$ on earth?

Mistake in evaluating the secant integral?

Evaluate $\int \frac{1}{1+3\sin^2 x} dx$ (Making antiderivative continuous.)

Verifying an indefinite integral solution

Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$

How to integrate $\sqrt{\arctan(x)}$

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