List questions from integration-by-parts

Published on 14 Mar 2016 - 6:50

202

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Integration of $\frac{\ln(1-x)}{x}$

Published on 21 Mar 2016 - 19:14

768

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Integration by parts of $\cot x$

Published on 23 Mar 2016 - 14:26

146

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Find the Integral, $ I_{1,1I}=\int \frac{x\arcsin{x}}{c\arcsin{k}+\sqrt{1-x^2} + x\arcsin{x}}\mathrm{d}x $

Published on 24 Mar 2016 - 7:06

114

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How to integrate $t^{m-1} \textrm e^{-ut}$?

Published on 24 Mar 2016 - 10:40

68

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Prove $\frac{d}{dx} \int_x^{x^2}\ \frac{\sin t}{t} dt = \frac{2\sin x^2 - \sin x}{x}$

Published on 24 Mar 2016 - 11:43

56

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How to integrate $\int_{0}^{T} t^{m-1}\cdot \mathrm{e}^{-ut}\,\mathrm{d}t$?

Published on 27 Mar 2016 - 17:43

165

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Integrate $x\sqrt{1-x^3}$

Published on 28 Mar 2016 - 3:51

118

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How to obtain a close form/fast expression for this integral?

Published on 28 Mar 2016 - 10:52

371

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Integration by parts (convolution)

Published on 07 Apr 2016 - 13:40

92

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For large $n$, show that $\int\limits_{0}^{1}\frac{nx^{n-1}dx}{1+x^2} $ nearly equals $\frac{1}{2}$.

Published on 08 Apr 2016 - 12:15

777

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Proving a Formula for a Definite Integral by Induction.

Published on 10 Apr 2016 - 2:09

459

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How would I compute this integral with a ceiling function?

Published on 10 Apr 2016 - 16:25

340

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Green's first identity and the calculus of variations

Published on 14 Apr 2016 - 21:52

323

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Need help understanding part of the proof that $\displaystyle\int_{x=-1}^{1}[P_L(x)]^2\,\mathrm{d}x=\frac{2}{2L+1}$

Published on 18 Apr 2016 - 2:08

List Question

Recursive integration by parts

Integration of $\frac{\ln(1-x)}{x}$

Integration by parts of $\cot x$

Find the Integral, $ I_{1,1I}=\int \frac{x\arcsin{x}}{c\arcsin{k}+\sqrt{1-x^2} + x\arcsin{x}}\mathrm{d}x $

How to integrate $t^{m-1} \textrm e^{-ut}$?

Prove $\frac{d}{dx} \int_x^{x^2}\ \frac{\sin t}{t} dt = \frac{2\sin x^2 - \sin x}{x}$

How to integrate $\int_{0}^{T} t^{m-1}\cdot \mathrm{e}^{-ut}\,\mathrm{d}t$?

Integrate $x\sqrt{1-x^3}$

How to obtain a close form/fast expression for this integral?

Integration by parts (convolution)

For large $n$, show that $\int\limits_{0}^{1}\frac{nx^{n-1}dx}{1+x^2} $ nearly equals $\frac{1}{2}$.

Proving a Formula for a Definite Integral by Induction.

How would I compute this integral with a ceiling function?

Green's first identity and the calculus of variations

Need help understanding part of the proof that $\displaystyle\int_{x=-1}^{1}[P_L(x)]^2\,\mathrm{d}x=\frac{2}{2L+1}$

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