CUET · MATHS · PYQ PAPER 2025
The area (in sq. units) bounded by the curve y = cos x and x-axis between x = 0 and x = \(\frac{3 \pi}{2}\) is
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
Area \( = \int_0^{\pi/2} \cos x \, dx - \int_{\pi/2}^{3\pi/2} \cos x \, dx \) \( = [\sin x]_0^{\pi/2} - [\sin x]_{\pi/2}^{3\pi/2} \) \( = (\sin(\pi/2) - \sin(0)) - (\sin(3\pi/2) - \sin(\pi/2)) \) \( = (1 - 0) - (-1 - 1) \) \( = 1 - (-2) \) \( = 3 \)
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