Can we give a definition of $\int_{-\infty}^{\infty} xdx$,or why this integral is divergent?
132203
What is the intuition behind why the integration of $f(x) = x$ for closed interval of negative to positive infinity diverges, rather than being zero?
13287
Let $\int_{- \infty}^{\infty} f(x) dx =1$. Then show that $ \int_{- \infty}^{\infty} \frac{1}{1+ f(x)} dx = \infty.$
100744
Proof for divergence of $\int_1^\infty \cos(x^\frac{3}{4})$
124916
$f$ such that $\int_1^{\infty}f(x)dx$ converges, but not absolutely?
63988
General formula for evaluating integrals of the form $\displaystyle\int_0^\infty x^ae^{-bx}dx$
1392
$\int_{0}^{\infty}{\left(x^3\cdot(e^x-1)^{-1} \right)}dx$
70830
How to evaluate $\int_{0}^{\infty}\exp(-x^2-1/x^2)dx$?
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
98710
Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
151149
$\lim_{n \to \infty} n \int_{1}^{\infty} \frac{dx}{1+x^n}$, solution critique needed
81258
Evaluation of $\int_{-\infty}^\infty \frac{\sin(at)}t\ dt$
56815
how to solve $\int_{-\infty}^\infty e^{-x^2-x{\tau}} \cdot x\ dx$?
3068
Evaluating $\int_0^\infty \sin x^2\, dx$ with real methods?
121736
An improper integral : $\int_{0}^\infty {\ln(a^2+x^2)\over{b^2+x^2}}dx$
81353
Numerical integration of divergent function
105494
Gaussian-like integral : $\int_0^{\infty} e^{-x^2} \cos( a x) \ \mathrm{d}x$
107351
Evaluate the improper integral $\int_{0}^{\infty}{f(x)-f(2x)\over x}dx$, where $\lim_{x \to \infty} f(x) = L$