Can Super chicken solve this integrals??

[mark_bk99]

1.[tex]\int \frac{sinxdx}{cos^{2}x\sqrt{3sin2x+cos^{2}x}}[/tex]
2.[tex]\int_{-1}^{1}{\frac{ln(x^{2}+1)dx}{e^{x}+1}}[/tex]

[mark_bk99]

I feel so boring that I solve this math myself m:-t mdc-)
1.
I=   [tex]\int \frac{sinxdx}{cos^{2}\sqrt{3sin2x+cos^{2}x}}[/tex]
=[tex]\int \frac{sinxdx}{cos^{2}\sqrt{cos^{2}x(\frac{6sinx}{cosx}+1)}}[/tex]
=[tex]\int \frac{sinxdx}{cos^{3}\sqrt{6tanx+1}}[/tex]
=[tex]\int \frac{tanxdx}{cos^{2}x\sqrt{6tanx+1}}[/tex]
t=tanx-->dt=[tex]\frac{1}{cos^{2}x}[/tex]dx
-->[tex]\int \frac{tdt}{\sqrt{6t+1}}[/tex]
u=[tex]\sqrt{6t+1}[/tex]-->u ²=6t+1 ->u/3du=dt

-->[tex]\int \frac{(u^{2}-1)du}{18}[/tex]

-->I......
Number 2 for member  hoc-) :-((