_ 0 ^ 2 x ^ 2 x ^ 2 x d x is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
\[\int_{0}^{\frac{\pi}{2}} x \sin ^{2} x \cos ^{2} x d x\] is equal to
- \(\frac{\pi^{2}}{64}\)
- \(\frac{\pi^{2}}{16}\)
- \(\frac{\pi^{2}}{32}\)
- None of these
Answer
(C) ^ 2 32
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If I _ n = _ 0 ^ / 4 ^ n d where n is a positive integer, then n (I_ n-1 +I_ n+1 ) is equal to
- Given below are two statements. STATEMENT - 1: x^ 9 / 2 1+x^ 11 d x is equal to 2 11 |x^ 11 / 2 + 1+x^ 11 |+c…
- The area between the curves y= x and the line y=x+1 in the second quadrant is –
- The value of _ 0 ^ 2 x ^ 2 x ^ 2 x+ ^ 2 x d x is equal to :
- _ 0 ^ x a^ 2 ^ 2 x+b^ 2 ^ 2 x d x is equal to
- ^ -1 x (1-x^ 2 )^ 3 / 2 d x is equal to
- The integral d x x^ 2 (x^ 4 +1 )^ 3 / 4 equals:
- The area of the circle exterior to the parabola y^ 2 =6 x is :
More Integral Calculus questions · Browse all practice questions