List questions from indefinite-integrals

438

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Is there a better/faster way to take anti-derivatives of simple functions than "reversing" the derivative rules?

Published on 26 Mar 2026 - 6:31

97

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Extraordinary integral of a rational function

Published on 16 Oct 2019 - 19:31

229

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Indefinite integral $\int \frac{1}{2-\cos(x)}\,dx$ has discontinuities. How to fix?

Published on 17 Oct 2019 - 1:07

227

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Integrate $\int_0^x \frac{d\theta}{(1+\epsilon\cos{\theta})^2}$ for $\epsilon>0$

Published on 18 Oct 2019 - 19:59

516

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How to Integrate Composite Functions

Published on 27 Mar 2026 - 0:55

341

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Integral $\int \frac{1}{x(1-x)^n}dx$

Published on 29 Mar 2026 - 11:44

113

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Computing $\int\sqrt{x^2 - 25} \,\mathrm d x$. Where am I wrong?

Published on 26 Mar 2026 - 11:06

1k

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Prove a reduction formula for: $\int \frac{x^n dx}{\sqrt{ax^2 + bx + c}}$

Published on 21 Oct 2019 - 15:45

141

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Solving $\displaystyle\int \frac{\ln(\tan(x))}{\sin^2(x)}dx$

Published on 22 Oct 2019 - 2:41

84

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Solving the integral $\int \sqrt{C^2 - \frac{x^2}{1+x^2}}dx$

Published on 23 Oct 2019 - 13:46

63

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Understanding the result of this integral (partial fractions)

Published on 27 Mar 2026 - 2:01

272

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$\int \frac{dx}{\sin x-\cos x}$

Published on 24 Oct 2019 - 15:36

52

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What's Wrong With My Calculation of a Indefinite Integral?

Published on 27 Oct 2019 - 1:37

48

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How to integrate this trigonometric integral?

Published on 27 Oct 2019 - 22:24

71

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How can I solve this trigonometric integral step by step?

Published on 28 Oct 2019 - 17:00

List Question

Is there a better/faster way to take anti-derivatives of simple functions than "reversing" the derivative rules?

Extraordinary integral of a rational function

Indefinite integral $\int \frac{1}{2-\cos(x)}\,dx$ has discontinuities. How to fix?

Integrate $\int_0^x \frac{d\theta}{(1+\epsilon\cos{\theta})^2}$ for $\epsilon>0$

How to Integrate Composite Functions

Integral $\int \frac{1}{x(1-x)^n}dx$

Computing $\int\sqrt{x^2 - 25} \,\mathrm d x$. Where am I wrong?

Prove a reduction formula for: $\int \frac{x^n dx}{\sqrt{ax^2 + bx + c}}$

Solving $\displaystyle\int \frac{\ln(\tan(x))}{\sin^2(x)}dx$

Solving the integral $\int \sqrt{C^2 - \frac{x^2}{1+x^2}}dx$

Understanding the result of this integral (partial fractions)

$\int \frac{dx}{\sin x-\cos x}$

What's Wrong With My Calculation of a Indefinite Integral?

How to integrate this trigonometric integral?

How can I solve this trigonometric integral step by step?

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