COMEDK · Maths · 31. Area Under Curves
Area of the region bounded by the curve \(y=\cos x\) between \(x=-\dfrac{\pi}{2}\) and \(x=\pi\) is-----
- A 2 sq units
- B 3 sq units
- C 1 sq units
- D 4 sq units
Answer & Solution
Correct Answer
(B) 3 sq units
Step-by-step Solution
Detailed explanation
The area \(A\) bounded by the curve \(y = \cos x\) between \(x = -\dfrac{\pi}{2}\) and \(x = \pi\) is given by the integral \(A = \int_{-\pi/2}^{\pi} |\cos x| dx\). The function \(\cos x\) is positive in the interval \([-\pi/2, \pi/2]\) and negative in the interval…
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