List questions from indefinite-integrals

Published on 22 May 2018 - 16:08

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If $\int{\frac{4e^x + 6e^{-x}}{9e^x - 4e^{-x}}}dx = Ax + B\log{(9e^{2x}-4)} + C$, then find A, B and C.

Published on 23 May 2018 - 9:17

304

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Integrate $\int \frac{dx}{\sqrt{(x-a)(b-x)}}$

Published on 25 Mar 2026 - 6:29

193

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Evaluation of $\int\frac{1}{(\sin x+a\sec x)^2}dx$

Published on 24 May 2018 - 3:36

1.7k

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Why does $\int f(x) dx = \int_0^x f(t) dt$?

Published on 24 May 2018 - 5:57

3.8k

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Evaluate $\int_0^1x(\tan^{-1}x)^2~\textrm{d}x$

Published on 25 Mar 2026 - 12:15

122

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Integral of $\int\ \sqrt{1-x^2} dx $ with 2 method

Published on 25 May 2018 - 15:16

269

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Proving a trigonometric identity by integration.

Published on 25 May 2018 - 17:52

55

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$g$ is monotonic strictly increasing, continuous in $ [0,\infty)$ and positive function.

Published on 26 May 2018 - 15:20

3.4k

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Evaluate $\int e^{-3x} \cos^3x\,dx$

Published on 26 May 2018 - 22:04

2.7k

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Integrate $\int\frac{2t^2}{t^4+1}dt$

Published on 27 May 2018 - 14:08

293

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Limit of Riemann Sum as Definite Integral

Published on 25 Mar 2026 - 14:23

617

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Integration of high degree polynomial quotient

Published on 27 May 2018 - 20:03

80

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Is there a better way of integrating $\int \frac{(x-1)^4}{(x-2)^7}dx$?

Published on 28 May 2018 - 10:43

585

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The complex conjugate squared has no antiderivative

Published on 29 May 2018 - 19:50

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Unclear calculus problem

If $\int{\frac{4e^x + 6e^{-x}}{9e^x - 4e^{-x}}}dx = Ax + B\log{(9e^{2x}-4)} + C$, then find A, B and C.

Integrate $\int \frac{dx}{\sqrt{(x-a)(b-x)}}$

Evaluation of $\int\frac{1}{(\sin x+a\sec x)^2}dx$

Why does $\int f(x) dx = \int_0^x f(t) dt$?

Evaluate $\int_0^1x(\tan^{-1}x)^2~\textrm{d}x$

Integral of $\int\ \sqrt{1-x^2} dx $ with 2 method

Proving a trigonometric identity by integration.

$g$ is monotonic strictly increasing, continuous in $ [0,\infty)$ and positive function.

Evaluate $\int e^{-3x} \cos^3x\,dx$

Integrate $\int\frac{2t^2}{t^4+1}dt$

Limit of Riemann Sum as Definite Integral

Integration of high degree polynomial quotient

Is there a better way of integrating $\int \frac{(x-1)^4}{(x-2)^7}dx$?

The complex conjugate squared has no antiderivative

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