The value of the integral _ 0 ^ x ( ^ 4 x ^ 4 x ) d x is
Mathematics · JEE Main · NTA Exams — Integral Calculus
The value of the integral \(\int_{0}^{\pi} x\left(\sin ^{4} x \cos ^{4} x\right) d x\) is
- \(\frac{3 \pi^{2}}{64}\)
- \(\frac{3 \pi^{2}}{128}\)
- \(\frac{3 \pi^{2}}{256}\)
- none of these
Answer
(C) 3 ^ 2 256
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