definite-integral

Question: $\int_{0}^{\pi /4}{\frac{{{\sec }^{2}}x}{(1+\tan x)(2+\tan x)}}\,dx=$



1) ${{\log }_{e}}\left( \frac{2}{3} \right)$
2) ${{\log }_{e}}3$
3) $\frac{1}{2}{{\log }_{e}}\left( \frac{4}{3} \right)$
4) ${{\log }_{e}}\left( \frac{4}{3} \right)$
Solution: Explanation: No Explanation
Fundamental definite integration Definite integration by substitution

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