JEE Main 202431 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002
If the integral 525 \int_\limits0^{\frac{\pi}{2}} \sin 2 x \cos ^{\frac{11}{2}} x\left(1+\operatorname{Cos}^{\frac{5}{2}} x\right)^{\frac{1}{2}} d x is equal to , then is equal to _________.