COMEDK · Maths · 30. Definite Integration
\(\int_{-\pi / 2}^{\pi / 2} \sin x d x\)
- A 2
- B 3
- C 0
- D 5
Answer & Solution
Correct Answer
(C) 0
Step-by-step Solution
Detailed explanation
Let \(I = \int_{-\pi / 2}^{\pi / 2} \sin x \, dx\). The integrand \(f(x) = \sin x\) is an odd function because \(f(-x) = \sin(-x) = -\sin x = -f(x)\). For any odd function \(f(x)\) integrated over a symmetric interval \([-a, a]\), the integral is zero:…
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