Integrating $\sin(x)/x$, how to treat the pole at the origin?
60572
Computing $\int_{-\infty}^\infty \frac{\sin x}{x} \mathrm{d}x$ with residue calculus
52857
Behaviour of $\frac{x^{3} y}{x^{6} + y^{2}}$ around origin
118330
How do we know what the integral of $\sin (x)$ is?
38005
Integral of $\sin (x^3)dx$
58947
Integral of $\int\sin^{3}xdx$
130668
Evaluating the integral with trigonometric integrand
83387
Contour integration with poles
158279
$\int_0^{\pi/2}\ln(\sin(x))$?
30127
Integration of sqrt Sin x dx
138074
Integrating the inverse of a function.
96191
Integral $\int_0^{\infty} \sin(x^2)/x^2\,dx$
127711
Evaluating $\int_{0}^{1}\int_{0}^{1}\sqrt{x^{2}+y^{2}}dxdy$ using polar coordinates.
125764
Under what conditions does Mathematica give a natural antiderivative when integrating?
40067
Integrating $\int\frac{x^3}{\sqrt{9-x^2}}dx$ via trig substitution
1150
Indefinite Integral of $\sqrt{\sin x}$
117113
Integration of $x^2 \sin(x)$ by parts
132000
Calculate $\int_0^\infty\frac{\sin x}xdx$ by integration of a suitable function along given paths