Confusing Integral Expression: $\int{\frac{1}{x+\sqrt{x^2-x+1}}dx}$
58909
Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
95934
How to integrate $\int\frac{1}{\sqrt{1+x^3}}\mathrm dx$?
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
95068
Integral of $\frac{1}{2x}$
149341
Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$
145590
Compute the integral $\int\frac{dx}{(x^2-x+1)\sqrt{x^2+x+1}}$
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$
154491
Evaluate $\int \frac{\sqrt{x^2-1}}{x} \mathrm{d}x$
64800
Evaluate $\int_0^1 \log \left( \frac{x^2+\sqrt{3}x+1}{x^2-\sqrt{3}x+1} \right) \frac{dx}{x} $
51216
Different ways to tackle the integral $\int_0^1\sqrt\frac x{1-x}\,dx$
105260
How to integrate $\int\sqrt{x^2+1}dx$
153867
Evaluate $ \int_{0}^{\frac{\pi}2}\frac1{(1+x^2)(1+\tan x)}\:\mathrm dx$
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
140122
Integral: $\int_0^1\frac{\mathrm{Li}_2(x^2)}{\sqrt{1-x^2}}dx$
100817
Generalizing $\int_{0}^{1} \frac{\arctan\sqrt{x^{2} + 2}}{\sqrt{x^{2} + 2}} \, \frac{\operatorname dx}{x^{2}+1} = \frac{5\pi^{2}}{96}$
46217
A nasty indefinite integral $ \int \frac{1}{x(x+1)(x+2)(x+3)(x+4) ... (x+m)} dx $
96759
How do you evaluate the integral $\int\frac{x^2-1}{(x^4+3 x^2+1) \tan^{-1}\left(\frac{x^2+1}{x}\right)}\,dx$?