definite-integral

Question: $\int_{0}^{1}{{{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right)\,dx=}$

1) $\frac{\pi }{2}-2\log \sqrt{2}$

2) $\frac{\pi }{2}+2\log \sqrt{2}$

3) $\frac{\pi }{4}-\log \sqrt{2}$

4) $\frac{\pi }{4}+\log \sqrt{2}$

Solution:

Explanation: No Explanation

Fundamental definite integration Definite integration by substitution

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