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Question: $\int_{0}^{\pi /4}{\frac{\sec x}{1+2{{\sin }^{2}}x}}$ is equal to


1) $\frac{1}{3}\left[ \log (\sqrt{2}+1)+\frac{\pi }{2\sqrt{2}} \right]$
2) $\frac{1}{3}\left[ \log (\sqrt{2}+1)-\frac{\pi }{2\sqrt{2}} \right]$
3) $3\left[ \log (\sqrt{2}+1)-\frac{\pi }{2\sqrt{2}} \right]$
4) $3\left[ \log (\sqrt{2}+1)+\frac{\pi }{2\sqrt{2}} \right]$
Solution: Explanation: No Explanation
Fundamental definite integration Definite integration by substitution

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