List questions from indefinite-integrals

Published on 22 Mar 2026 - 21:28

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Why can the trig sub $x=\cosh(\theta)$ be used to solve the integral: $\int \frac{1}{(x^2-1)^{3/2}}dx$?

Published on 20 Nov 2018 - 13:59

181

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How to evaluate $\int \frac{dx}{(2x+1)\sqrt{3x+2}}$

Published on 21 Nov 2018 - 10:34

72

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Evaluate $\int \frac{7x^4+2}{x^8-e^{7x}}dx$

Published on 21 Nov 2018 - 11:52

1.5k

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Is integration by substitution always a reverse of the chain rule?

Published on 25 Mar 2026 - 20:11

65

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How resolve this integral?

Published on 23 Nov 2018 - 0:01

523

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How to solve $\int\frac{\ln x}{x^2(\ln (x)-1)^2}dx$ by substitution

Published on 23 Nov 2018 - 21:05

139

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Different way of solving $\frac{d^2u}{dx^2}=1$?

Published on 24 Nov 2018 - 15:16

183

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Can these integrals be solved by u-substitution using trig identities?

Published on 24 Nov 2018 - 15:57

330

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Definite Integration and Initial Value Problems

Published on 25 Mar 2026 - 18:59

89

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Evaluating indefinite integral with any hint or solution

Published on 26 Nov 2018 - 17:36

37

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Agreement between constants of integration for different branches

Published on 27 Nov 2018 - 23:19

76

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Solve the Differential equation $\left(y e^{\sin x}\cos x-y^3+2xy\right)dx+\left(2e^{\sin x}-4y^2(x+1)+2x^2\right)dy=0$

Published on 29 Nov 2018 - 8:26

164

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Evaluate $\int \frac{\ln(t+\sqrt{t^2+1)}}{1+t^2} \, dt$

Published on 30 Nov 2018 - 15:21

125

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Integrating $\int\frac1{x(x+2)}dx$ and $\int\frac1{e^x+2}dx$. What am I doing wrong?

Published on 02 Dec 2018 - 5:49

List Question

Inequality with extreme values

Why can the trig sub $x=\cosh(\theta)$ be used to solve the integral: $\int \frac{1}{(x^2-1)^{3/2}}dx$?

How to evaluate $\int \frac{dx}{(2x+1)\sqrt{3x+2}}$

Evaluate $\int \frac{7x^4+2}{x^8-e^{7x}}dx$

Is integration by substitution always a reverse of the chain rule?

How resolve this integral?

How to solve $\int\frac{\ln x}{x^2(\ln (x)-1)^2}dx$ by substitution

Different way of solving $\frac{d^2u}{dx^2}=1$?

Can these integrals be solved by u-substitution using trig identities?

Definite Integration and Initial Value Problems

Evaluating indefinite integral with any hint or solution

Agreement between constants of integration for different branches

Solve the Differential equation $\left(y e^{\sin x}\cos x-y^3+2xy\right)dx+\left(2e^{\sin x}-4y^2(x+1)+2x^2\right)dy=0$

Evaluate $\int \frac{\ln(t+\sqrt{t^2+1)}}{1+t^2} \, dt$

Integrating $\int\frac1{x(x+2)}dx$ and $\int\frac1{e^x+2}dx$. What am I doing wrong?

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