List questions from closed-form

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Is there a finite geometric series variant for these functions of k?

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Finding closed forms for a trigonometric series or for the partial sums

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What is integral of $e^{\cos^2x}dx$?

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Closed form for the following integral

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Are any closed form solutions / upper bounds known for this product?

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114

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Closed formula from product of sine

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Is there a closed form of this sequence?

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Analytic expression of this integral

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Evaluating $\int_{0}^{\frac{\pi}{2}}d\phi \frac{e^{-D \cos^2 \phi}}{A+B\tan^2 \phi}$

Published on 21 Mar 2026 - 23:49

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How can I use $\sum_{j=0}^{\infty} z^j=\frac{1}{1-z}$ to find a closed form expression for $\sum_{j=0}^{\infty} jz^j$?

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Evaluate $\int_{-1}^1\frac{\sin(x)}{\arcsin(x)}dx$

Published on 10 Apr 2018 - 15:58

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Evaluating $\int_0^1\int_0^1\left(\sqrt{1-x^2}+\sqrt{1-y^2}\right)^{-1}\,dx\,dy$

Published on 11 Apr 2018 - 20:52

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Closed form for $\int_0^1 \frac {\log^n(x)}{(1-x)^m} dx$

Published on 12 Apr 2018 - 10:30

78

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What is $\int\frac {dx} {x!}$?

Published on 12 Apr 2018 - 22:47

List Question

Closed form for the integral $\int_0^{\pi/2} \frac{x-\sin x}{\tan x-x} dx$

Is there a finite geometric series variant for these functions of k?

Finding closed forms for a trigonometric series or for the partial sums

What is integral of $e^{\cos^2x}dx$?

Closed form for the following integral

Are any closed form solutions / upper bounds known for this product?

Closed formula from product of sine

Is there a closed form of this sequence?

Analytic expression of this integral

Evaluating $\int_{0}^{\frac{\pi}{2}}d\phi \frac{e^{-D \cos^2 \phi}}{A+B\tan^2 \phi}$

How can I use $\sum_{j=0}^{\infty} z^j=\frac{1}{1-z}$ to find a closed form expression for $\sum_{j=0}^{\infty} jz^j$?

Evaluate $\int_{-1}^1\frac{\sin(x)}{\arcsin(x)}dx$

Evaluating $\int_0^1\int_0^1\left(\sqrt{1-x^2}+\sqrt{1-y^2}\right)^{-1}\,dx\,dy$

Closed form for $\int_0^1 \frac {\log^n(x)}{(1-x)^m} dx$

What is $\int\frac {dx} {x!}$?

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