Looking for better approaches to evaluate $\int \dfrac{x^2+x}{(e^x+x+1)^2}dx$
32312
Evaluating the integral $\int \frac{x^2+x}{(e^x+x+1)^2}dx$
58909
Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
42758
How to find $ \int_0^\infty \dfrac x{1+e^x}\ dx$
146084
Different methods of evaluating $\int\sqrt{a^2-x^2}dx$:
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
38515
Integral of $\frac{1}{x^4+1}$
30193
Real-Analysis Methods to Evaluate $\int_0^\infty \frac{x^a}{1+x^2}\,dx$, $|a|<1$.
147977
Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$
149341
Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$
65407
Evaluating $\int\limits_0^\infty \frac{\log x} {(1+x^2)^2} dx$ with residue theory
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
8642
Calculate $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $
146338
How to evaluate $\int\frac{1+x^4}{(1-x^4)^{3/2}}dx$?
65028
Evaluate $\int\frac {\csc^2{x}-2005}{\cos^{2005}{x}} dx $
68319
How can I evaluate $\int_{-\infty}^{\infty} e^{-x^2} dx$ without using polar coordinates
157931
Contour integration of $\int \frac{dx} {(1+x^2)^{n+1}}$