JEE Main 20244 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002If ∫0π4sin2x1+sinxcosx dx=1aloge(a3)+πb3\int_0^{\frac{\pi}{4}} \frac{\sin ^2 x}{1+\sin x \cos x} \mathrm{~d} x=\frac{1}{\mathrm{a}} \log _{\mathrm{e}}\left(\frac{\mathrm{a}}{3}\right)+\frac{\pi}{\mathrm{b} \sqrt{3}}∫04π1+sinxcosxsin2x dx=a1loge(3a)+b3π, where a,b∈N\mathrm{a}, \mathrm{b} \in \mathrm{N}a,b∈N, then a+b\mathrm{a}+\mathrm{b}a+b is equal to _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
