Chain Rule

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Q. $\stackrel{1}{\underset{-1}{\int }}\frac{x^3+|x|+3}{x^2+4|x|+3}dx$ is

1. $\frac{4}{\pi }{\int }_0^{\frac{\pi }{2}}\ln \left(\sin \alpha \right)d\alpha$
2. $-\frac{4}{\pi }{\int }_0^{\frac{\pi }{2}}\ln \left(\cos \alpha \right)d\alpha$
3. $-\frac{2}{\pi }{\int }_0^{\frac{\pi }{2}}\ln \left(\sin 2\alpha \right)d\alpha$
4. $-\frac{4}{\pi }{\int }_0^{\frac{\pi }{2}}(\ln \left(\sin \alpha \right)+\ln \left(\cos \alpha \right))d\alpha$

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