COMEDK · Maths · 30. Definite Integration
\(\int_{-\dfrac{\pi}{2}}^{\dfrac{\pi}{2}} \cos x d x\)
- A 2
- B 0
- C -1
- D 5
Answer & Solution
Correct Answer
(A) 2
Step-by-step Solution
Detailed explanation
The integral is \(I = \int_{-\dfrac{\pi}{2}}^{\dfrac{\pi}{2}} \cos x \, dx\). The antiderivative of \(\cos x\) is \(\sin x\). Applying the fundamental theorem of calculus: \(I = [\sin x]_{-\dfrac{\pi}{2}}^{\dfrac{\pi}{2}}\)…
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