List questions from indefinite-integrals

Published on 14 Apr 2026 - 2:54

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u substitution and du in integrals?

Published on 12 Apr 2026 - 19:20

428

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A Beautiful Integral: $\int_{0}^{\pi/2}\log(\sin x)\log(\cos x)\,dx$

Published on 17 Apr 2026 - 3:28

483

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Using the Leibniz Rule

Published on 12 Apr 2026 - 6:30

98

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Indefinite integral of $\int \frac { dx}{x^{2m}+1}, m \in \mathbb R $

Published on 14 Apr 2026 - 23:16

120

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Evaluate the algebraic indefinite integral $\int \frac{\sqrt{x+1}-\sqrt{x-1}}{\sqrt{x+1}+\sqrt{x-1}}dx$

Published on 17 Apr 2026 - 4:34

619

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Elementary Functions, Differentiation, Integration

Published on 26 Mar 2026 - 19:03

1.9k

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Taking factors out of this integral?

Published on 14 Apr 2026 - 13:27

81

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Evaluating $\int\frac{x^4}{x^2+a^2}dx$

Published on 17 Apr 2026 - 14:38

1.7k

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

Published on 17 Apr 2026 - 4:10

693

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Integrate $ \int \frac{1}{1 + x^3}dx $

Published on 17 Apr 2026 - 14:14

215

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Proving integration formula

Published on 08 Apr 2026 - 19:29

155

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

Published on 17 Apr 2026 - 10:58

58

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

Published on 17 Apr 2026 - 12:55

117

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Integrate $ \int\frac{1+x^2}{(1-x^2)(\sqrt{1+x^4})}dx $

Published on 16 Apr 2026 - 18:30

List Question

How do I apply $u$-substitution to solve $\int x \ln\left(1+\sqrt{x}\right) \,dx$

u substitution and du in integrals?

A Beautiful Integral: $\int_{0}^{\pi/2}\log(\sin x)\log(\cos x)\,dx$

Using the Leibniz Rule

Indefinite integral of $\int \frac { dx}{x^{2m}+1}, m \in \mathbb R $

Evaluate the algebraic indefinite integral $\int \frac{\sqrt{x+1}-\sqrt{x-1}}{\sqrt{x+1}+\sqrt{x-1}}dx$

Elementary Functions, Differentiation, Integration

Taking factors out of this integral?

Evaluating $\int\frac{x^4}{x^2+a^2}dx$

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

Integrate $ \int \frac{1}{1 + x^3}dx $

Proving integration formula

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

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

Integrate $ \int\frac{1+x^2}{(1-x^2)(\sqrt{1+x^4})}dx $

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