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Mathematics
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  • Member for 6 years
  • Last seen more than 3 years ago
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question
8
Finding a General Pattern for the Partial fraction of $\frac{1}{{{\left( 1+x \right)}^{n}}\left( 1+{{x}^{2}} \right)}$
Jul 13, 2019
answer
7
Compute $\int_0^1\frac{\ln(1-x)\ln(1+x)}{1+x}\ln\left(\frac{1+x}{2}\right)\ dx$
Mar 19, 2020
answer
6
Integral $\int_0^\pi \cos (( n-m) x )\frac{\sin^2 (nmx)}{\sin(nx)\sin(mx)} \rm dx$
Jul 10, 2019
question
4
Solution of $2{{I}_{xy}}={{I}_{x}}+{{I}_{y}}$
Mar 26, 2019
question
4
Evaluation of $\int_{0}^{1}{\int_{0}^{1}{\frac{\ln \left( 1-x \right)-\ln \left( 1-y \right)}{x-y-1}dx}dy}$
Jun 6, 2019
answer
4
$\int_{0}^{\infty }{{{x}^{n}}\sin \left( {{x}^{1/4}} \right)\exp \left( -{{x}^{1/4}} \right)dx}=0$
Jul 11, 2019
answer
4
Calculate $\int_3^4 \sqrt {x^2-3x+2} \, dx$ using Euler's substitution
Jun 4, 2019
question
3
Calculating $\int_{0}^{\pi }{\frac{x\sin \left( x \right)}{a+b{{\cos }^{2}}\left( x \right)}dx}$
Mar 30, 2019
question
3
A proof for solution of first order differential equation
Apr 5, 2019
question
3
Showing that $\lim\limits_{n\to\infty}\sqrt{n}\int_{-\infty }^{\infty}\frac{1}{( 1+x^{2})^n}\,dx=\sqrt{\pi}$
May 4, 2019
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What kind of puzzle this is?