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Top posts (100) All Questions Answers | Votes Newest

11 Calculating $\int x dx$ using trigonometric functions Jun 4 '14
8 Convergence of $\int_{0}^{+\infty} \frac{x}{1+e^x}\,dx$ Feb 20 '16
6 Evaluate $\int_{0}^{\frac {\pi}{3}}x\log(2\sin\frac {x}{2})\,dx$ Sep 29 '14
5 How to show $\sum_{n=1}^{\infty} \frac{1}{n^{3} \binom{2n}{n}} = 4 \int_{0}^{\frac{1}{2}} \frac{\arcsin^{2}(x)}{x} \ dx$? Sep 28 '14
4 How to plot complex functions on the paper by your hand? Dec 28 '13
4 How to show that $\int_0^{\pi/2}\int_0^{\pi/2}\left(\frac{\sin\phi}{\sin\theta}\right)^{1/2}\,d\theta\,d\phi=\pi$? Nov 28 '16
4 Suppose $A$ is a countable subset of $\mathbb{R}$. Prove that there exists a continuous function $\phi$ from $A$ to $A^c$ Jun 22 '19
3 Approximating definite integral $\int_0^T e^{-t^2} \sin(wt)dt$ Jun 1 '15
3 How to show $\left(1+\frac{1}{3}x+\frac{1}{24}x^2+\frac{1}{300}x^3+…\right)^2 = 1 +\frac{2}{3}x+\frac{7}{36}x^2+\frac{1}{30}x^3+…$? Dec 5 '16
3 Suppose that $f$ is entire and that for each $z$, either $|f(z)| \le 1$ or $|f'(z)| \le 1$. How can I prove that $f$ is a linear polynomial? [duplicate] Apr 9 '19
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