How to evaluate the indefinite integral $\int\frac{1+x^2}{(1-x^2)(\sqrt 1+x^4)} dx$ in simplest form?
42992
How do I integrate the following? $\int{\frac{(1+x^{2})\mathrm dx}{(1-x^{2})\sqrt{1+x^{4}}}}$
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
38511
Evaluation of $\int\frac{1}{x^2.(x^4+1)^{\frac{3}{4}}}dx$
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
39629
Indefinite integration of $\int \frac{1}{1+\sqrt{x^2+2x+2}}dx$
141387
Reduction Integration of $I_n=\int{\frac{x^n}{\sqrt{x^2+a^2}} dx}$
16712
Evaluate $\int_{-\pi/4}^{\pi/4}(\cos(t)+\sqrt{1+t^2}\cos(t)^3\sin (t)^3)dt$
8642
Calculate $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $
70013
How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
125069
Help with $\int \frac 1{\sqrt{a^2 - x^2}} \mathrm dx$
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$
147479
Evaluate $\int \frac{2-3x}{2+3x}\sqrt\frac{1+x}{1-x}dx$
111956
Evaluating indefinite integrals of the form $\int \frac{x^2 \,dx}{a x^5 + b}$
137549
Given $\int_0^{\infty}e^{-x^2}dx = \frac{\sqrt{\pi}}{2}$, evaluate $\int_0^{\infty}e^{-a^2x^2-\frac{b^2}{x^2}}dx $
67263
Compute integral $\int_{-\infty}^\infty \frac{x^4}{1+x^8} \, dx$
61740
Evaluate the integration : $\int\sqrt{\frac{(1-\sin x)(2-\sin x)}{(1+\sin x)(2+\sin x)}}dx$
49203
Evaluating $\int \sqrt{1 + t^2} dt$?