Integrate $\int \frac{\sqrt x}{\sqrt {a^2-x^2}}dx$
30127
Integration of sqrt Sin x dx
50735
The integral $\int_0^8 \sqrt{x^4+4x^2}\,dx$
82408
Integral $\int_{1}^{2011} \frac{\sqrt{x}}{\sqrt{2012 - x} + \sqrt{x}}dx$
45872
Integration: $\int\frac{1}{(x^2+x+1)^{1/2}} dx$
137549
Given $\int_0^{\infty}e^{-x^2}dx = \frac{\sqrt{\pi}}{2}$, evaluate $\int_0^{\infty}e^{-a^2x^2-\frac{b^2}{x^2}}dx $
89387
Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$
10341
complex integration $\frac{1-|a|^{2}}{\pi}\int_{L}\frac{|dz|}{{|z+a|}^{2}}$
142834
An integral : $\int_{-a}^a \frac{\cos(\pi n x/a)}{x^2+a^2}\mathrm dx$
67340
Integrate $\int \frac{dx}{\sqrt{\sin^3x\sin(x+\alpha)}}$
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
54831
Integral of $\sqrt{1-x^2}$ using integration by parts
107119
A logarithmic integral $\int^1_0 \frac{\log\left(\frac{1+x}{1-x}\right)}{x\sqrt{1-x^2}}\,dx$
2411
Integrate $\int_0^{\pi/2} \frac{1}{1+\tan^\alpha{x}}\,\mathrm{d}x$
81533
Integrating $\int_1^2 \int_0^ \sqrt{2x-x^2} \frac{1}{((x^2+y^2)^2} dydx $ in polar coordinates
137625
Need a hint to evaluate the indefinite integral $\int\frac{e^x(2-x^2)}{(1-x)\sqrt{1-x^2}}dx$?
143585
Solve the integral $\frac 1 {\sqrt {2 \pi t}}\int_{-\infty}^{\infty} x^2 e^{-\frac {x^2} {2t}}dx$
24589
Integral of $1/(x^2-1)^2$