### Questions (52)

 5 Why use a rectangular contour to evaluate $\int_\mathbb{R}\frac{e^{-i\sigma x}}{e^{ax}+e^{-bx}}dx$ 4 Does absolute integrability imply integrability? 4 Is the Fourier transform of a compactly supported $L^1$ function $C^{\infty}$ 4 Simultaneous vs. Successive Choosing 3 Double Integral $\iint\limits_D\frac{dx\,dy}{(x^2+y^2)^2}$ where $D=\{(x,y): x^2+y^2\le1,\space x+y\ge1\}$

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 1 Limit of complex integral 0 Variable change to make differential equation separable

### Tags (40)

 1 complex-analysis × 14 0 multivariable-calculus × 9 1 integration × 8 0 lebesgue-integral × 5 1 exponential-function × 2 0 taylor-expansion × 4 0 real-analysis × 30 0 laurent-series × 4 0 calculus × 12 0 residue-calculus × 3

### Bookmarks (11)

 37 If a function $f(x)$ is Riemann integrable on $[a,b]$, is $f(x)$ bounded on $[a,b]$? 31 Finding poles, indicating their order and then computing their residues 26 Prove that $\log(n) = O(\sqrt{n})$ 11 Calculate the Fourier transform of $b(x) =\frac{1}{x^2 +a^2}$ [closed] 7 Big O notation, $1/(1-x)$ series