For what values of ''$a$'' , does this Improper Integral converges?
35435
For what values of $\alpha$, does this integral converge?
116498
Convergence of improper integral $\int_{0}^{1}\frac{\log(x)}{1-x^2}dx$
80428
Convergence of $\int\limits_1^{\infty}x^\alpha\sin(x^\beta)dx$
87834
How can we show that the following sequence converges?
107351
Evaluate the improper integral $\int_{0}^{\infty}{f(x)-f(2x)\over x}dx$, where $\lim_{x \to \infty} f(x) = L$
84969
When does $\lim_{n\rightarrow \infty} a_n = 0$ imply $\sum_{n = 0}^{\infty} a_n$ converges?
68866
Is $\int_{-\infty}^{\infty} \sin x \, \mathrm{dx}$ divergent or convergent?
124916
$f$ such that $\int_1^{\infty}f(x)dx$ converges, but not absolutely?
63956
Evaluate $\int_0^{\infty}\frac{\ln x}{x^a(x+1)}dx$ where $0<a<1$
145335
Is $ \int_0^1{\frac{\sin x}{x}dx} $ convergent?
8934
How do I solve this improper integral: $\int_{-\infty}^\infty e^{-x^2-x}dx$?
14175
$\sum_\limits{n=0}^{\infty} a_n$ converges $\implies \sum_\limits{n=0}^{\infty} a_n^2$ converges
109807
For what values of $a$ the series $\sum \limits_{n=1}^{\infty} \frac{a^n}{n^\sqrt n}$ converges?
58475
Does $\int_0^\infty |\cos(x^2)| \mathrm dx$ converge?
61079
How to see this improper integral diverges?
9662
For what real values of $a$ does $\sum_{n=1}^{\infty}{(\frac{an}{n +1})^n}$ converge?
90558
A question related to a convergence of an integral