List questions from indefinite-integrals

Published on 20 Apr 2026 - 7:42

42

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Two solutions to a first-order ODE?

Published on 14 Apr 2026 - 14:37

74

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Integrate $\int\frac{1}{x^2-3}dx$

Published on 16 Apr 2026 - 19:37

153

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

Published on 17 Apr 2026 - 6:04

275

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Why we don't use absolute value bars in the trigonometric substitution of indefinite integral?

Published on 14 Apr 2026 - 21:30

87

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Analytic solution for differential equation

Published on 11 Apr 2026 - 0:22

395

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Two tough functions to integrate: $f(x)={\left({\frac{A}{x^\alpha}+\sqrt{B+\frac{C}{x^{2\alpha}}}}\right)}^{\frac{1}{3}}$ and $g(x)=\frac{1}{f(x)}$

Published on 16 Apr 2026 - 0:40

4.3k

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What other tricks and techniques can I use in integration?

Published on 08 Apr 2026 - 21:32

142

Views

Calculate $\int_{-\infty}^{\infty}\int_{-\infty}^{\infty} dx dy \exp(-5x^2+8xy-5y^2)$

Published on 16 Apr 2026 - 0:36

179

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Multiple solutions for the indefinite integral $\int \frac{\csc(x)\cot(x)}{1+\csc^2(x)} \, dx $

Published on 16 Apr 2026 - 12:44

56

Views

Integral $\int \sqrt{1-b(1-\frac{x^{2}}{a^{2}})^{2}}dx$

Published on 15 Apr 2026 - 22:36

135

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Integrate $\int\frac{3x^2-1}{\sqrt{x^2+x-1}}dx$

Published on 16 Apr 2026 - 19:37

143

Views

Integrate $\int\frac{6x^4+4x^2+8x+4}{(1-2x)^3}dx$

Published on 17 Apr 2026 - 13:22

68

Views

Definite integral in terms of indefinite integrals

Published on 12 Apr 2026 - 8:19

220

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Integrate $\int\frac{\sin^2(x)}{\cos^7(x)}dx$

Published on 15 Apr 2026 - 21:09

List Question

Integrate $\int\frac{1}{(x^2-3)\sqrt{x^2+2}}dx$

Two solutions to a first-order ODE?

Integrate $\int\frac{1}{x^2-3}dx$

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

Why we don't use absolute value bars in the trigonometric substitution of indefinite integral?

Analytic solution for differential equation

Two tough functions to integrate: $f(x)={\left({\frac{A}{x^\alpha}+\sqrt{B+\frac{C}{x^{2\alpha}}}}\right)}^{\frac{1}{3}}$ and $g(x)=\frac{1}{f(x)}$

What other tricks and techniques can I use in integration?

Calculate $\int_{-\infty}^{\infty}\int_{-\infty}^{\infty} dx dy \exp(-5x^2+8xy-5y^2)$

Multiple solutions for the indefinite integral $\int \frac{\csc(x)\cot(x)}{1+\csc^2(x)} \, dx $

Integral $\int \sqrt{1-b(1-\frac{x^{2}}{a^{2}})^{2}}dx$

Integrate $\int\frac{3x^2-1}{\sqrt{x^2+x-1}}dx$

Integrate $\int\frac{6x^4+4x^2+8x+4}{(1-2x)^3}dx$

Definite integral in terms of indefinite integrals

Integrate $\int\frac{\sin^2(x)}{\cos^7(x)}dx$

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