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### Questions (112)

 18 Integrating $\int_0^\infty\frac{\log (1+z^2)}{e^z-1}dz$ using residue calculus. 12 Can a substitution cause a convergent definite integral to diverge? 11 proof that $e^x$ is a transcendental function of $x$? 11 Integration method for $\int_0^\infty\frac{x}{(e^x-1)(x^2+(2\pi)^2)^2}dx=\frac{1}{96} - \frac{3}{32\pi^2}.$ 8 Is it possible to express $e$ in terms of $\pi$ algebraically and vice-versa?

### Reputation (3,190)

 +10 How to prove $\frac{2^a+3}{2^a-9}$ is not a natural number +10 Logarithmic Integral II +10 How to solve $z^3 + \overline z = 0$ +10 How to remember trig identities?

 19 Express 99 2/3% as a fraction? No calculator 14 How to remember trig identities? 12 Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \ \mathrm dx$ 10 Why does being holomorphic imply so much about a function? 8 Two methods to integrate?

### Tags (126)

 33 calculus × 21 18 complex-analysis × 31 33 algebra-precalculus × 10 15 integration × 21 20 trigonometry × 6 14 mnemonic 19 percentages 11 soft-question × 11 19 fractions 10 definite-integrals × 23

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