Tính các tích phân sau:
1, $I=\int_{0}^{1}xln(x^2+x+1)dx$
2, $A=\int_{ln2}^{ln3}\frac{e^{2x}dx}{e^x-1+\sqrt{e^x-2}}$
3, $B=\int_{\frac{\pi}{6}}^{\frac{\pi}{2}}sinx\sqrt{{sin^2x+\frac{1}{2}dx}}$
4, $C=\int_{0}^{\pi/2}\left ( e^{cosx}+sinx \right )sin2xdx$