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Mathematics
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6
Evaluate $\int x^x \ln x\, dx$
Jan 30, 2019
3
What does it really mean for a wave equation to be critical?
Jan 28, 2019
3
Proof of the inequality $\sup_{x\in [a, b]} (f(x)) ^2 \le (b-a) \int_a ^b(f'(x)) ^2 dx$
Oct 2, 2022
2
Evaluate $\int_{0}^{\pi} x\sin\big(\frac{1}{x}\big)\cos x \,dx$
Feb 20, 2019
2
A function in $H^1(\mathbb{R}^3)$
Oct 19, 2019
2
Equation of motion for Hamiltonian for n bodies.
Apr 1
1
Integral of Complex Gaussian: $\int_{-\infty}^{\infty} e^{-(2\pi x +i\omega)^2}dx$.
Feb 9, 2019
1
Convergence of the series $\sum_{n=-\infty}^{\infty} \frac{1}{(z-n)^2}$
Oct 2, 2019
1
Relation connecting $(3n)!$, $3^n$ and $n!$
Jun 23, 2022
1
Prove $\left|\int_a^bf(x)dx \right|\le \frac{(b-a)^3}{24} \max_{a\le x\le b}|f''(x)|$
Sep 21, 2022