Why does shifting the integration line from the real-axis not affect the integral $ \int_{-\infty}^\infty e^{-x^2} dx $?
69614
a generalization of normal distribution to the complex case: complex integral over the real line
63884
Matlab's "buggy" symbolic integration function seems to be equivalent to the Implied Integral. Coincedence or intentional?
140638
Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
100866
Why is $\int_{0}^{\infty} \frac {\ln x}{1+x^2} \mathrm{d}x =0$?
136602
Why is $\int_1^{\infty}(1/x^2)\,dx$  less than $\sum_{n=1}^{\infty} 1/(n^2)$?
138355
Improper rational/trig integral comes out to $\pi/e$
93071
Is there a way to calculate the improper integral $\int_0^\infty \big(\frac{\ln x}{x - 1}\big)^2 dx$?
61515
Evaluate $\int_0^{\infty} \frac{\log(x)dx}{x^2+a^2}$ using contour integration
54735
What is the closed form of $\int e^{x^2} \, dx$?
101856
Why does the electric field of an infinite line depend on the distance, but not on an infinite plane?
10093
$\lim_{x\to \infty}e^{-x^2}\int_x^{x+1/x}e^{t^2}dt$
15947
Validity of Substitutions in Integrals
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?
29476
Double integral with transformation; possible error in limits
52864
Line integration in complex analysis
125764
Under what conditions does Mathematica give a natural antiderivative when integrating?
124445
Integral of the form $\int_{0}^{\infty}e^{-ax}e^{-x^{4}}dx$