Double integral (volume) of function $y^2+z^2\le a^2$ in the region $x^2+y^2\le a^2$
121
Find the volume common to two circular cylinders, each with radius r, if the axes of the cylinders intersect at right angles. (using disk/washer)
15586
Volume of the torus with an integral
9518
Evaluate: $ \int_0^1 \int_y^1 e^{x^2 }dxdy$
31529
Integrating $\int^2_{-2}\frac{x^2}{1+5^x}$
82126
Volume of bounded region between sphere and a plane
43506
Contour integral of $\sqrt{z^2-1}$ on $|z| = 2$
54638
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
100559
Gaussian integral with a shift in the complex plane
67608
Integration of $1/(x^2+x\sqrt{x})$
121736
An improper integral : $\int_{0}^\infty {\ln(a^2+x^2)\over{b^2+x^2}}dx$
19475
Evaluate$\int_{-2}^2\int_{y^2-3}^{5-y^2}dxdy$
24589
Integral of $1/(x^2-1)^2$
86182
Calculate integral $\int_\gamma y\,dx + x^2\,dy$ with Green's Theorem
96486
Double Integral $\int_0^\infty \int_0^\infty \frac{\log x \log y}{\sqrt {xy}}\cos(x+y)\,dx\,dy=(\gamma+2\log 2)\pi^2$
38139
Solid volume using double integral
100711
$\int_{-\infty}^{\infty}e^{-zt^2 + 2wt} \ dt = e^{w^2 / z} \sqrt{\frac{\pi}{z}}$ for $z,w \in \mathbb{C}, Re(z) > 0$
152977
Integrate $\int\sqrt{x+\sqrt{x^{2}+2}} dx$ .