How find this integral $\;\int\frac{\sqrt{\ln{(x+\sqrt{x^2+1})}}}{1+x^2}dx$
67533
A question on integration
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
117101
Integrate $\int \frac{dx}{\sqrt{-ax^2 + bx +c}} $
57686
Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
109121
How to find integral of $\int_0^\infty \frac{\ln ^2z} {1+z^2}\mathrm{d}z$?
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$
85949
Integral involving logarithm: $\int_0^\infty \frac{ \ln x}{(x+a)(x+b)} dx$
2487
Integral $\int \frac{\mathrm{d}x}{\sqrt{x}+\sqrt{x+1}+\sqrt{x+2}}$
140122
Integral: $\int_0^1\frac{\mathrm{Li}_2(x^2)}{\sqrt{1-x^2}}dx$
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
106812
Find $\int_{0}^{\infty} \frac{\ln(x)}{1+x^2}dx$
19631
Finding $\lim_{n\to \infty}\sqrt n \int_0^1 \frac{\,dx}{(1+x^2)^n}$
8642
Calculate $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $
118324
Other challenging logarithmic integral $\int_0^1 \frac{\log^2(x)\log(1-x)\log(1+x)}{x}dx$
102639
How to receive the result of the integral $ \int\frac{1}{x}dx$ is $\ln|x|$?
99753
How to prove $\int_0^1\frac{1-x}{(\ln x)(1+x)}\ dx=\ln\left(\frac2{\pi}\right)$?
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $