CUET · MATHS · PYQ PAPER 2023
The area of region bounded by the curve \(y=\cos x\) and \(x\)-axis between \(x=0\) and \(x=\pi\) is
- A 1 sq.unit
- B 2 sq.units
- C 3 sq.units
- D 4 sq.units
Answer & Solution
Correct Answer
(B) 2 sq.units
Step-by-step Solution
Detailed explanation
Area \( = \int_0^{\pi/2} \cos x \, dx + \int_{\pi/2}^{\pi} (-\cos x) \, dx \) \( = [\sin x]_0^{\pi/2} - [\sin x]_{\pi/2}^{\pi} \) \( = (\sin(\pi/2) - \sin(0)) - (\sin(\pi) - \sin(\pi/2)) \) \( = (1 - 0) - (0 - 1) \) \( = 1 - (-1) \) \( = 2 \) sq.units
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