How to evaluate $\int _0^1{(x^x)}^{{(x^x)}^{.^{.^.}}}dx$?
42805
Show that $\int\limits_0^1 \left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{⋰}}}}\ \mathrm{d}x=\frac{\pi^2}{12}$.
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
115375
Indefinite integral of $e^{x^n}$
64743
How do I evaluate the integral $\int \frac{1}{x^3 -1}dx$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
63251
Evaluation of $\int^1_0\frac{x^b-x^a}{\ln x} d x=\ln{{\frac{1+b}{1+a}}}$
21616
Calculate integral $\int_{-1}^{1} (1-x^2)^n dx $
67629
How to evaluate these indefinite integrals with $\sqrt{1+x^4}$?
88368
Evaluating $\int_0^1 \sqrt{1 + x ^4 } \, d x $
89028
Evaluate the integral $\int e^{-x}x^n dx$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
122361
Evaluate $\int_0^1\left(\frac{1}{\ln x} + \frac{1}{1-x}\right)^2 \mathrm dx$
95933
How to evaluate the integral $\int_0^{\pi}\frac{a^n\sin^2x+b^n\cos^2x}{a^{2n}\sin^2x+b^{2n}\cos^2x}dx$?
506
Finding $\int x^xdx$
126654
What is the definite integral $\int_{-1}^1 \frac{1}{x} dx$ equal to?
100180
Evaluate the integral $\int_0^\infty \frac{dx}{\sqrt{(x^3+a^3)(x^3+b^3)}}$
148613
Integrate $\int_{0}^{1}{x^{-x}(1-x)^{x-1}\sin{\pi x}dx}$