How to solve this integral: $\int_0^\infty x^a e^{-bx}dx$?
63988
General formula for evaluating integrals of the form $\displaystyle\int_0^\infty x^ae^{-bx}dx$
34967
Compute $ \int_{0}^{ \infty }\frac{\ln xdx}{x^{2}+ax+b}$
110343
Integrating $\rm x^ae^{-bx}$.
19402
Find integral solution of $a^{b} - b^{a} = 3$
121736
An improper integral : $\int_{0}^\infty {\ln(a^2+x^2)\over{b^2+x^2}}dx$
133922
How to solve this integral? $I=\int{e^x \Big(2\log x+\frac{1}{x}+\frac{1}{x^2}\Big)dx}$
1392
$\int_{0}^{\infty}{\left(x^3\cdot(e^x-1)^{-1} \right)}dx$
22099
Integrate $e^{ax}\sin(bx)?$
73489
How is the Integral of $\int_a^bf(x)~dx=\int_a^bf(a+b-x)~dx$
56815
how to solve $\int_{-\infty}^\infty e^{-x^2-x{\tau}} \cdot x\ dx$?
90095
Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
54735
What is the closed form of $\int e^{x^2} \, dx$?
69124
Integral $\int_{0}^{\infty}e^{-ax}\cos (bx)\operatorname d\!x$
60796
Integrating $\int^{\infty}_0 e^{-x^2}\,dx$ using Feynman's parametrization trick
17986
Contour method to solve $\int^\infty_0\frac{\ln(1+x)}{1+x^2}\,dx$
67450
How do you integrate $e^{x^2}$?
140574
Find $\lim_{n\to \infty} \int_0^1 nx^n e^{x^2} dx$