How to evaluate $\int_0^1\frac{3x^3-x^2+2x-4}{\sqrt{x^2-3x+2}}~dx$?
1417
How to integrate the product of two or more polynomials raised to some powers, not necessarily integral
13085
Evaluate $ 1 + \frac{1}{3}\frac{1}{4}+\frac{1}{5}\frac{1}{4^2}+\frac{1}{7}\frac{1}{4^3}+\dots$
104583
Simplify $\int \frac{1}{\sqrt{2-x^2}}\, dx$
123295
How does one evaluate $\sqrt[3]{x + iy} + \sqrt[3]{x - iy}$?
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
71611
Evaluating $\int\sqrt{\frac{1-x^2}{1+x^2}}\mathrm dx$
95933
How to evaluate the integral $\int_0^{\pi}\frac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx$?
93174
Evaluate integral $\int_0^\pi \sin^4\left(x+\sin 3x\right)dx$
67830
Evalute the definite integral: $\int_{0}^{3} (x^2+1) d[x]$
64800
Evaluate $\int_0^1 \log \left( \frac{x^2+\sqrt{3}x+1}{x^2-\sqrt{3}x+1} \right) \frac{dx}{x} $
63576
Evaluate the integral $\int \frac{\sec x}{\sqrt{3+\tan x}}dx$
57224
Compute $\int_0^\infty \frac{dx}{1+x^3}$
64743
How do I evaluate the integral $\int \frac{1}{x^3 -1}dx$
154491
Evaluate $\int \frac{\sqrt{x^2-1}}{x} \mathrm{d}x$
115198
Evaluate $\int_0^1 \frac{\log \left( 1+x^{2+\sqrt{3}}\right)}{1+x}\mathrm dx$
55738
Evaluating $\int _0^{\frac{\pi }{2}}\:\frac{\sqrt[3]{\sin^2\left(x\right)}}{\sqrt[3]{\sin^2\left(x\right)}+\sqrt[3]{\cos^2\left(x\right)}}dx$
147977
Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$