How to calculate $\int_{0}^1 \sqrt{\frac{1-x^2}{1+x^2}}dx$?
71611
Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$
117446
calculation of $\int_{0}^{1}\tan^{-1}(1-x+x^2)dx$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
31529
Integrating $\int^2_{-2}\frac{x^2}{1+5^x}$
153867
Evaluate $ \int_{0}^{\frac{\pi}2}\frac1{(1+x^2)(1+\tan x)}\:\mathrm dx$
132383
Evaluate the integral $\int_{-1}^1\frac{dx}{(e^x+1)(x^2+1)}$.
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
51216
Different ways to tackle the integral $\int_0^1\sqrt\frac x{1-x}\,dx$
39629
Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$
42992
How do I integrate the following? $\int{\frac{(1+x^{2})\mathrm dx}{(1-x^{2})\sqrt{1+x^{4}}}}$
58909
Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
102156
Integral of $\int_0^{\pi/2} \frac {\sqrt{\sin x}}{\sqrt {\sin x} + \sqrt {\cos x}}$dx
104691
Integration of $\int_{0}^{1} \frac{x^k}{1-x} dx$
146338
How to evaluate $\int\frac{1+x^4}{(1-x^4)^{3/2}}dx$?
57686
Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
16800
Integrating $\int_0^{2\pi} \frac1{a\cos(t)+b\sin(t)+c}dt$ with $\sqrt{a^2+b^2}=1<c$