List questions from indefinite-integrals

Published on 21 Feb 2017 - 19:52

119

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How to take the integral $\int \sqrt{\tan x}\,dx$

Published on 22 Feb 2017 - 11:22

180

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Indefinite integral : $\int \frac{dx}{(1+x^{2})^{\frac{3}{2}}}$

Published on 22 Feb 2017 - 18:14

438

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Trigonometric-substitutions for $\int \frac{x}{\sqrt{x^2+x+1}}\,dx$

Published on 29 Mar 2026 - 7:39

5.7k

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The deep reason why $\int \frac{1}{x}\operatorname{d}x$ is a transcendental function ($\log$)

Published on 23 Feb 2017 - 4:02

86

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Integrate $\frac {\sin (2x)} {\sin^4 (x) + \cos ^4 (x)}$

Published on 23 Feb 2017 - 12:18

187

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How to take $\int \frac{x^4-2x^2+2}{x^3-2x^2-x+2}dx$?

Published on 23 Feb 2017 - 12:42

604

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How to take this integral? $\int \frac{dx}{x\ln x\ln (\ln x)}$

Published on 23 Feb 2017 - 21:17

1.1k

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Antiderivative of $e^{x^2}$: Correct or fallacy?

Published on 26 Mar 2026 - 4:30

87

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Evaluation of the integral $\int\frac{dx}{(e^x+1)(2e^x+3)}$.

Published on 24 Feb 2017 - 14:42

1.8k

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Justification for indefinite integration by substitution

Published on 29 Mar 2026 - 10:59

267

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Why does $f$ in $\int f(x)\, dx$ have to be continuous?

Published on 24 Feb 2017 - 18:02

1.2k

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Evaluate $I_{n}=\int\frac{\cos nx}{5-4\cos x}=$

Published on 25 Feb 2017 - 11:53

401

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Problem on indefinite integration

Published on 25 Feb 2017 - 13:00

196

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Showing that $\int \frac {dx}{\sqrt{x^2+a^2}} \;=\; \ln\,\biggl| x+\sqrt{x^2+a^2}\,\biggr| +C$

Published on 29 Mar 2026 - 11:06

List Question

How to write correctly when performing integral calculations?

How to take the integral $\int \sqrt{\tan x}\,dx$

Indefinite integral : $\int \frac{dx}{(1+x^{2})^{\frac{3}{2}}}$

Trigonometric-substitutions for $\int \frac{x}{\sqrt{x^2+x+1}}\,dx$

The deep reason why $\int \frac{1}{x}\operatorname{d}x$ is a transcendental function ($\log$)

Integrate $\frac {\sin (2x)} {\sin^4 (x) + \cos ^4 (x)}$

How to take $\int \frac{x^4-2x^2+2}{x^3-2x^2-x+2}dx$?

How to take this integral? $\int \frac{dx}{x\ln x\ln (\ln x)}$

Antiderivative of $e^{x^2}$: Correct or fallacy?

Evaluation of the integral $\int\frac{dx}{(e^x+1)(2e^x+3)}$.

Justification for indefinite integration by substitution

Why does $f$ in $\int f(x)\, dx$ have to be continuous?

Evaluate $I_{n}=\int\frac{\cos nx}{5-4\cos x}=$

Problem on indefinite integration

Showing that $\int \frac {dx}{\sqrt{x^2+a^2}} \;=\; \ln\,\biggl| x+\sqrt{x^2+a^2}\,\biggr| +C$

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