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phi-rate
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I am not great at integrating, but I like it anyways

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14
Evaluating $\int_{-\infty}^\infty \frac{\ln{(x^4+x^2+1)}}{x^4+1}dx$
Mar 23, 2022
13
Show $\int_0^{\pi/2}\int_0^1 e^{t+t^{\tan\theta}}dtd\theta=\frac{\pi}{4}(e^2-1)$
Jun 3, 2023
10
How to Evaluate the Integral? $\int_{0}^{1}\frac{\ln\left( \frac{x+1}{2x^2} \right)}{\sqrt{x^2+2x}}dx=\frac{\pi^2}{2}$
Nov 6, 2022
9
$\int_0^\infty\frac{\ln{(x^8+x^4+2x^2+1)}}{x^2+1}dx$ and $\int_0^\infty\frac{1}{x^2+1}\arctan{\left(\frac{x^2+1}{x^4}\right)}dx$
Aug 11, 2022
7
Evaluate $\int_0^\infty \frac{x^2\operatorname{Ti}_2(x^2)}{x^4+1} \space dx$
Nov 14, 2022
7
Definite integrals solvable using the Feynman Trick
Mar 24, 2022
7
How to evaluate $\sum_{k=1}^n\frac{(2k)!!}{(2k-1)!!}z^k$
Dec 12, 2022
6
$I_n=\int_0^{\frac{\pi}{4}}\sin^n x\cos xdx(n=0,1,2...)$, find $\sum_{n=0}^{\infty}I_n$
Jul 22, 2023
6
Roots of $\cos{x}+\cosh^2{x}$
Nov 28, 2022
6
Find the nth derivative of $\frac{3x-1}{x^2+x+1}$
Feb 4, 2023