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Mathematics
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Dmitry's user avatar
Dmitry's user avatar
Dmitry
  • Member for 5 years, 7 months
  • Last seen more than a week ago
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65
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48
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question
9
Evaluate a sum by Ramanujan $\sum_{n=1}^{\infty} \frac{(1\cdot 3\dots (2n-1))^3}{(2\cdot 4\dots (2n))^3}\sum_{k=1}^{n}\frac{1}{2k-1}$
Jul 5, 2021
question
8
Calculate $\lim_{n\rightarrow \infty }\int_{0}^{\pi /2}\sqrt[n]{\sin^nx+\cos^nx}\,dx$
Apr 20, 2021
question
7
Solve the equation $4x^3+13x^2-14x=3-\sqrt{15x+9}$
Jan 7, 2023
question
6
Calculate integral $\int\limits_{0}^{2\pi}\frac{dx}{\left ( 1+n^2\sin^2 x \right )^2}$
Apr 19, 2021
question
6
Calculate the integral ...
Apr 20, 2021
question
6
Calculate the sum $\sum_{n=0}^{\infty }\frac{1}{n!!}$
Aug 8, 2022
question
5
Find the minimum ...
Apr 27, 2021
question
5
Evaluating $\int_{-\infty }^{\infty }\cos x^3\sin x^2dx$ without the Airy function
Sep 20, 2021
question
5
Calculate the integral $\int\limits_{0}^{8}\frac{dx}{x^2+\sqrt[3]{x}}$
Jun 1, 2022
question
4
Showing $\sum_{n=1}^\infty\frac1{n^2}\left(1+\frac1{2^2}+\cdots+\frac1{n^2}\right)=\frac{7\pi^4}{360}$
Jul 7, 2021
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10
Print all correct parenthesis sequences of () and [] of length n in lexicographical order
6
Find the number of cycles of length 3