Evaluating $\int_{0}^{1}\sqrt{\frac{x}{1-x}}\mathrm{d}x$
51216
Different ways to tackle the integral $\int_0^1\sqrt\frac x{1-x}\,dx$
145403
Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$
115598
Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
88670
Evaluating $\int \frac{1}{{x^4+1}} dx$
30459
Evaluate $\int^1_0 \log^2(1-x) \log^2(x) \, dx$
150843
Evaluation of $\int_0^{\pi/4} \sqrt{\tan x} \sqrt{1-\tan x}\,\,dx$
148613
Integrate $\int_{0}^{1}{x^{-x}(1-x)^{x-1}\sin{\pi x}dx}$
59352
Computing: $\int_0^1 \sqrt[3]{x\log{\frac{1}x}} \, \mathrm dx$
71611
Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$
80710
Does $\int_{-1}^1 \frac 1 x dx$ equal zero?
26096
Evaluating $\int \frac{\sin{x}+\cos{x}}{\sin^4{x}+\cos^4{x}} \mathrm dx$
81914
Integrating $\int_0^1 \frac {\log(1-x)\log^2(1+x)}x \mathrm{d}x$
27195
Evaluating $\int_{0}^{1}\frac{1-x}{1+x}\frac{\mathrm dx}{\ln x}$
95934
How to integrate $\int\frac{1}{\sqrt{1+x^3}}\mathrm dx$?
15625
Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration
104583
Simplify $\int \frac{1}{\sqrt{2-x^2}}\, dx$
60654
Integrate $\int_0^{2 \pi } \frac{1}{(a+b \cos^2 (x))^2} \, \mathrm{d}x$