How to evaluate $\int_0^1 \int_0^1 \frac{1}{1-u^2+v^2}dudv$?
29886
How to evaluate $\int_0^1\int_0^1 \frac{1}{1-xy} \, dy \, dx$ to prove $\sum_{n=1}^{\infty} \frac{1}{n^2}=\frac{\pi^2}{6}$.
147977
Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$
139784
Computing integration $\int_0^1\frac{\ln x}{1-x}d x$
88368
Evaluating $\int_0^1 \sqrt{1 + x ^4 } \, d x $
147479
Evaluate $\int \frac{2-3x}{2+3x}\sqrt\frac{1+x}{1-x}dx$
141892
How to evaluate $\int_0^\infty \frac{1}{x^n+1} dx$
25509
evaluation of an integral involving algebraic numbers
17115
Please tell me how to evaluate this integral.
67830
Evalute the definite integral: $\int_{0}^{3} (x^2+1) d[x]$
93205
Compute: $\int_{0}^{1}\frac{x^4+1}{x^6+1} dx$
141711
Evaluate the following integral?
9518
Evaluate: $ \int_0^1 \int_y^1 e^{x^2 }dxdy$
107987
How do I calculate $u(w)=\int_0^\infty \frac{1-\cos(wt)}{t}\,e^{-t}\,dt$?
36586
Evaluating $\frac{1}{2\pi}\int_{0}^{2\pi}\frac{1}{1-2t\cos\theta +t^2}d\theta$
53830
Evaluate $ \int_{0}^{1} \ln(x)\ln(1-x)\,dx $
150890
Evaluating $\int_{\mathbb{R}}\frac{\exp(-x^2)}{1+x^2}\,\mathrm{d}x$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$