How we can solve like this integral $\int \frac{dx}{x^n+1}$ (Hypergeometric function)
118224
Evaluation of Indefinite Integral resulting in Hypergeometric Function
157931
Contour integration of $\int \frac{dx} {(1+x^2)^{n+1}}$
18732
How do I evaluate $\int \frac{\mathrm{d}x}{e^x + 1} $?
80736
How to integrate $\int\frac{\sqrt{1+x^2}}{x}\,\mathrm dx$
119572
Finding the integral of $\frac{x}{e^x + 1}$
88757
Calculus 2 integral $\int {\frac{2}{x\sqrt{x+1}}}\, dx$
8289
Hints on calculating the integral $\int_0^1\frac{x^{19}-1}{\ln x}\,dx$
13978
Calculating the integral $\int_0^\infty \frac{\cos x}{1+x^2}\, \mathrm{d}x$ without using complex analysis
141387
Reduction Integration of $I_n=\int{\frac{x^n}{\sqrt{x^2+a^2}} dx}$
71700
How to solve $\int_0^\pi{\frac{\cos{nx}}{5 + 4\cos{x}}}dx$?
16595
Evaluate$\int_0^1 \frac{x^{m-1} + x^{n-1}}{(1+x)^{m+n}}dx$ in terms of Beta function
70013
How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
91821
Integral of type $\displaystyle \int\frac{1}{\sqrt[4]{x^4+1}}dx$
42992
How do I integrate the following? $\int{\frac{(1+x^{2})\mathrm dx}{(1-x^{2})\sqrt{1+x^{4}}}}$
15625
Computing $\int_0^\infty\mathrm{d} x\frac{x}{e^x+1}$ with contour integration
20016
How to integrate $\int_0^{\pi/2}\frac{\sin^nx}{\sin^nx+\cos^nx}dx$?
64743
How do I evaluate the integral $\int \frac{1}{x^3 -1}dx$