indefinite-integration

Question: $\int_{{}}^{{}}{\frac{1}{1+{{\sin }^{2}}x}\ dx=}$

1) $\frac{1}{\sqrt{2}}{{\tan }^{-1}}(\sqrt{2}\tan x)+k$

2) $\sqrt{2}{{\tan }^{-1}}(\sqrt{2}\tan x)+k$

3) $-\frac{1}{\sqrt{2}}{{\tan }^{-1}}(\sqrt{2}\tan x)+k$

4) $-\sqrt{2}{{\tan }^{-1}}(\sqrt{2}\tan x)+k$

Solution:

Explanation: No Explanation

Integration by substitution

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