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KCET · Maths · Definite Integration

The value of \(\int_{-1}^1 \sin ^5 x \cos ^4 x d x\) is

  1. A \(-\pi / 2\)
  2. B \(\pi\)
  3. C \(\pi / 2\)
  4. D \(0\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(0\)

Step-by-step Solution

Detailed explanation

\(\int_{-1}^1 \sin ^5 x \cos ^4 x d x=0\)

Since it is odd function.