MHT CET · Maths · Definite Integration
The value of \(\int_{-3}^3 \sin ^7 x \cos ^{16} x \mathrm{~d} x\) is
- A \(1\)
- B \(2\)
- C \(0\)
- D \(-1\)
Answer & Solution
Correct Answer
(C) \(0\)
Step-by-step Solution
Detailed explanation
\(f(x) = \sin^7 x \cos^{16} x\) \(f(-x) = \sin^7(-x) \cos^{16}(-x) = (-\sin x)^7 (\cos x)^{16} = -\sin^7 x \cos^{16} x = -f(x)\)
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