Find the value $C$ such that $\int^{\infty}_{0}(\frac{x}{x^2+1} - \frac{C}{3x+1})dx$ converges
19556
Finding constant to make integrals converge
132124
$\int_{0}^{\infty}\frac{x}{x^3+1}dx$ =?
145335
Is $ \int_0^1{\frac{\sin x}{x}dx} $ convergent?
151149
$\lim_{n \to \infty} n \int_{1}^{\infty} \frac{dx}{1+x^n}$, solution critique needed
105971
Convergence of $\sum \limits_{n=1}^{\infty}\sqrt{n^3+1}-\sqrt{n^3-1}$
94868
When does $P(x)=\sum_{n=0}^{\infty}{\frac{n!}{n^n}\cdot x^n}$ with $x\in \mathbb{C}$ converge?
114673
Proving the convergence of $\sum_{n=2}^{\infty} \frac{1}{n (\ln n)^2}$
32042
Convergence of $\sum_{n=1}^\infty \frac{n^2}{2^n}$
87115
Find a continuous function $f:[1,\infty)\to\Bbb R $ such that $f(x) >0 $, $\int_1^\infty f(x)\,dx $ converges and $\int_1^\infty f(x)^2\,dx$ diverges
124916
$f$ such that $\int_1^{\infty}f(x)dx$ converges, but not absolutely?
135840
Convergence\Divergence of $\sum\limits_{n=1}^{\infty}\frac {1\cdot 3\cdots (2n-1)} {2\cdot 4\cdots (2n)}$
49860
Determine the convergence of $\sum\limits_{n=2}^\infty \frac{\sqrt{n+1}}{n(n-1)}$
59427
convergence to infinity of$ (2^n + 3^n)^{\frac{1}{n}}$ (as $n \to \infty$)
61696
Prove that $\{x_1=1,\,x_{n+1}=\frac {x_n}2+\frac 1{x_n} \}$ converges when $n \to \infty$
44261
Convergence of $\sum^\infty_{n=1} \ln(1+\frac 1 {2^n})$
48763
Convergence of $\sum_{n=1}^\infty \frac{\cos(n)}{n}$
25503
Convergence of $\sum_{n=1}^\infty \frac{\sin^2(n)}{n}$