Trigonometric Integral....

\hspace{-16}\mathbf{\int_{0}^{\pi}\ln(3+\cos x)dx}

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xYz ·

hi, i am getting

\boxed{Ans.= \pi*\ln(\frac{3+2\sqrt{2}}{2})}

Hint:Try evaluating I(t)=∫0πln(1+tcos(x))dx

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