Evaluate $ \int_{- \infty}^{\infty} \frac{x^4}{x^8 + 1} dx$ using Residual Theorem
67263
Compute integral $\int_{-\infty}^\infty \frac{x^4}{1+x^8} \, dx$
24182
Evaluating $\int_{0}^{\infty}\frac{\sin^{2n+1}x}{x}\mathrm{d}x$
44737
$ \int_{-\infty}^{\infty} x^4 e^{-ax^2} dx$
50735
The integral $\int_0^8 \sqrt{x^4+4x^2}\,dx$
53519
Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
100485
How do I evaluate the integral $\int_0^{\infty}\frac{x^5\sin(x)}{(1+x^2)^3}dx$?
63650
Evaluating the contour integral $\int_{0}^{\infty}\frac{\sin^{3}(x)}{x^{3}}\mathrm dx$
11757
How can I compute the integral $\int_{0}^{\infty} \frac{dt}{1+t^4}$?
38511
Evaluation of $\int\frac{1}{x^2.(x^4+1)^{\frac{3}{4}}}dx$
136444
Evaluating $\sum_{n=0}^\infty\frac{(-1)^n}{3n+1}$
85081
$\int_{0}^{\infty} \frac{\cos x - e^{-x}}{x} \mathrm dx$ Evaluate Integral
15625
Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
57463
Evaluate the integral using the theory of residues: $\int_{-\infty}^{\infty} \frac{dx}{(x^2+1)^2(x^2+16)}$
50471
Evaluate $\int\frac1{1+x^n}dx$ for $n\in\mathbb R$
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
60104
Evaluate $\sum_{k=1}^\infty\frac{x^k}{k(k+1)}$