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AP EAMCET · Maths · Definite Integration

\(\int_0^\pi x \sin ^4 x \cos ^6 x d x=\)

  1. A \(\frac{3 \pi^2}{512}\)
  2. B \(\frac{3 \pi^2}{256}\)
  3. C \(\frac{\pi^2}{256}\)
  4. D \(\frac{\pi^2}{512}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{3 \pi^2}{512}\)

Step-by-step Solution

Detailed explanation

Let \(I=\int_0^\pi x \sin ^4 x \cos ^6 x d x\)…