Calculate following definite integral
8225
Calculating the integral $\int_{1/3}^{3}\frac{\arctan(x)}{x^2-x+1}\;\mathrm{d}x$
90573
Indefinite integral $\int(\sin x)^2/(x\cdot\cos x-\sin x)^2\,dx$
120425
Bizarre Definite Integral
8642
Calculate $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $
124677
Substitution needed for calculating an integral
17679
Evaluate the integral $\int_0^{2a}\int_0^\sqrt{2ax-x^2}\frac{\phi'(y)(x^2+y^2)x dxdy}{\sqrt{4a^2x^2-(x^2+y^2)^2}}$
72039
Compute $\int_0^\infty\frac{\cos(xt)}{1+t^2}dt$
10319
Definite Integral $\int_{-\infty}^{\infty}\frac{x\sin x}{(x^2+a^2)(x^2+b^2)}\,\mathrm{d}x$
112868
calculate an integration by using residue theorem
98787
Calculation of $\int \sqrt{\tan x+2}dx$
17333
Definite Integral $\int_2^4\frac{\sqrt{\log(9-x)}}{\sqrt{\log(9-x)}+\sqrt{\log(3+x)}}dx$
79633
Calculating the integral $\int_{-\infty}^{\infty} x\sin(x)/(x^2+1)^2 dx$
21779
How to do symbolic definite integral without copy and paste the intermediate results?
91333
How to find $\int_{0}^{1}\dfrac{\ln^2{x}\ln^2{(1-x)}}{2-x}dx$
31448
Calculate $\int\left( \sqrt{\tan x}+\sqrt{\cot x}\right)dx$
27127
Calculating $\iint (x+y) \, dx \, dy$
120168
How to calculate $\int_{0}^{\pi/2}{\{\tan(x)\}dx}$