JEE Main 20245 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002The integral \int_\limits0^{\pi / 4} \frac{136 \sin x}{3 \sin x+5 \cos x} \mathrm{~d} x is equal to :AOption A. 3π−50loge2+20loge53 \pi-50 \log _e 2+20 \log _e 53π−50loge2+20loge5BOption B. 3π−25loge2+10loge53 \pi-25 \log _e 2+10 \log _e 53π−25loge2+10loge5COption C. 3π−10loge(22)+10loge53 \pi-10 \log _{\mathrm{e}}(2 \sqrt{2})+10 \log _{\mathrm{e}} 53π−10loge(22)+10loge5DOption D. 3π−30loge2+20loge53 \pi-30 \log _e 2+20 \log _e 53π−30loge2+20loge5CheckSkip · show solution
