List questions from indefinite-integrals

Published on 18 Mar 2015 - 12:48

162

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Theoretical or intuitive understanding of the integral $ \int_\ \frac{dx}{x} = \ln|x|$?

Published on 18 Mar 2015 - 17:43

44

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Find $\int \left(e^{\frac{x}{2}}-\frac{5}{x^2}\right)dx$ by substituion

Published on 18 Mar 2015 - 22:56

57

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Integration of logarithm

Published on 09 Apr 2026 - 15:00

122

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Closed form for $\int \frac{1}{a^x + x^a} dx$

Published on 20 Mar 2015 - 13:49

194

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

Published on 20 Mar 2015 - 15:09

237

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Integrate $\int \frac{\sin(3x)}{\cos x}~dx$

Published on 21 Mar 2015 - 11:42

10.4k

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How to solve integration of a product of an exponential and a trigonometric function?

Published on 11 Apr 2026 - 17:28

99

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Integral of $\int \frac{x \sin{x} \cos{x}}{(a^2 \sin^2 x + b^2 \cos^2 x)^2} dx $

Published on 22 Mar 2015 - 12:20

210

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Integral of $\int \frac{\sin x (2 \cos x - \sin x)}{2\sin x + \cos x} dx$

Published on 22 Mar 2015 - 12:41

404

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How to calculate $\int \sqrt{x^2+6}\,dx$?

Published on 12 Apr 2026 - 0:22

940

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stuck with (last) partial integration step for $\int x^2 e^{2x} \, dx$

Published on 22 Mar 2015 - 16:59

159

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Evaluate the following indefinite integral

Published on 22 Mar 2015 - 17:45

1.3k

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Interpreting the integral identity $\int c f(x) \,dx = c \int f(x) \,dx$ for $c = 0$

Published on 23 Mar 2015 - 5:20

177

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

Published on 23 Mar 2015 - 5:33

List Question

Why $\int \frac{\ln(x)^n}{(x-s)(x-s_0)} dx \propto \ln(x)^{n+1}$

Theoretical or intuitive understanding of the integral $ \int_\ \frac{dx}{x} = \ln|x|$?

Find $\int \left(e^{\frac{x}{2}}-\frac{5}{x^2}\right)dx$ by substituion

Integration of logarithm

Closed form for $\int \frac{1}{a^x + x^a} dx$

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

Integrate $\int \frac{\sin(3x)}{\cos x}~dx$

How to solve integration of a product of an exponential and a trigonometric function?

Integral of $\int \frac{x \sin{x} \cos{x}}{(a^2 \sin^2 x + b^2 \cos^2 x)^2} dx $

Integral of $\int \frac{\sin x (2 \cos x - \sin x)}{2\sin x + \cos x} dx$

How to calculate $\int \sqrt{x^2+6}\,dx$?

stuck with (last) partial integration step for $\int x^2 e^{2x} \, dx$

Evaluate the following indefinite integral

Interpreting the integral identity $\int c f(x) \,dx = c \int f(x) \,dx$ for $c = 0$

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

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