COMEDK · Maths · 31. Area Under Curves
The area bounded by the curve \(y=\cos x, x=0\) and \(x=\pi\) is
- A 2 sq units
- B 1 sq units
- C 4 sq units
- D 3 sq units
Answer & Solution
Correct Answer
(A) 2 sq units
Step-by-step Solution
Detailed explanation
The area \(A\) bounded by the curve \(y = \cos x\) between \(x = 0\) and \(x = \pi\) is given by the integral of the absolute value of the function, because the curve crosses the x-axis at \(x = \pi/2\). \(A = \int_{0}^{\pi} |\cos x| dx\) Splitting the integral at the point…
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