List questions from indefinite-integrals

Published on 22 Mar 2026 - 7:06

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Compute $\int\frac{x^2}{\tan{x}-x}dx$ for $x \in (0, \frac{\pi}{2})$

Published on 26 Jan 2018 - 21:11

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Find an appropriate trigonometric substitution of the form x=f(t) to simplify the integral

Published on 20 Mar 2026 - 20:42

80

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What's the best method to integrate $\int\arctan{\frac{1}{1 - x}}dx$?

Published on 27 Jan 2018 - 10:55

69

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How to solve the integral $\int (\frac{2}{x^3}+\frac{1}{x})\cdot \sin x\, \operatorname{d}x$

Published on 27 Jan 2018 - 21:56

86

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What is the integral of $a^{x-1}$?

Published on 22 Mar 2026 - 0:46

169

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Solving $\int(x^2 + 1)^7x^3{\mathrm d}x$ without expansion

Published on 24 Mar 2026 - 19:08

80

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how to calculate the integration of exponential with polynomial expression?

Published on 29 Jan 2018 - 10:12

397

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Integration by Parts - $\int \frac{x}{(x+1)^2} dx$

Published on 29 Jan 2018 - 17:20

40

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Is it possible to get a closed form expression for the following integral?

Published on 30 Jan 2018 - 5:14

89

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Integration with reciprocal

Published on 22 Mar 2026 - 1:04

113

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

Published on 31 Jan 2018 - 7:17

64

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Compute $\int{\frac{t^{n-1}-1}{(t+1)^{n+1}}dt}$

Published on 22 Mar 2026 - 20:55

66

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Indefinite Integral (Inverse trigonometric functions)

Published on 22 Mar 2026 - 20:41

44

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Can i apply integral property on this integral?

Published on 22 Mar 2026 - 18:28

List Question

Express integral into elliptical form

Compute $\int\frac{x^2}{\tan{x}-x}dx$ for $x \in (0, \frac{\pi}{2})$

Find an appropriate trigonometric substitution of the form x=f(t) to simplify the integral

What's the best method to integrate $\int\arctan{\frac{1}{1 - x}}dx$?

How to solve the integral $\int (\frac{2}{x^3}+\frac{1}{x})\cdot \sin x\, \operatorname{d}x$

What is the integral of $a^{x-1}$?

Solving $\int(x^2 + 1)^7x^3{\mathrm d}x$ without expansion

how to calculate the integration of exponential with polynomial expression?

Integration by Parts - $\int \frac{x}{(x+1)^2} dx$

Is it possible to get a closed form expression for the following integral?

Integration with reciprocal

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

Compute $\int{\frac{t^{n-1}-1}{(t+1)^{n+1}}dt}$

Indefinite Integral (Inverse trigonometric functions)

Can i apply integral property on this integral?

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