Integral asked on MIT bee qualifier 2012 $\int\frac{x-1}{(x+1)\sqrt{x^3+x^2+x}}\,dx$
4971
$\int_{0}^{1}\frac{1-x}{1+x}.\frac{dx}{\sqrt{x+x^2+x^3}}$
116219
How can I find  $\int\frac1{\sqrt[4]{1+x^4}}\mathrm dx$?
96759
How do you evaluate the integral $\int\frac{x^2-1}{(x^4+3 x^2+1) \tan^{-1}\left(\frac{x^2+1}{x}\right)}\,dx$?
120085
Compute $\int \frac{-3}{2x^2-x-1} dx$
140122
Integral: $\int_0^1\frac{\mathrm{Li}_2(x^2)}{\sqrt{1-x^2}}dx$
132383
Evaluate the integral $\int_{-1}^1\frac{dx}{(e^x+1)(x^2+1)}$.
146338
How to evaluate $\int\frac{1+x^4}{(1-x^4)^{3/2}}dx$?
39629
Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
75423
Computing $\int_0^\infty\frac{1}{(1+x^{2015})(1+x^2)}$
117587
$\int_{0}^{1}\frac{\sin^{-1}\sqrt x}{x^2-x+1}dx$
16800
Integrating $\int_0^{2\pi} \frac1{a\cos(t)+b\sin(t)+c}dt$ with $\sqrt{a^2+b^2}=1<c$
125735
How do I evaluate $\int_{1/3}^3 \frac{\arctan x}{x^2 - x + 1} \; dx$?
67608
Integration of $1/(x^2+x\sqrt{x})$
77053
Evaluating $\int_{0}^{1}\frac{\arcsin{\sqrt{x}}}{x^4-2x^3+2x^2-x+1}\operatorname d\!x$
47452
Calculus Question: $\int_0^1\frac{(x-x^2)^4}{1+x^2}dx$
95934
How to integrate $\int\frac{1}{\sqrt{1+x^3}}\mathrm dx$?