CUET · MATHS · PYQ PAPER 2023
The area bounded by the curve y = sin x and x-axis between \(x=-\pi\) and \(x=\pi\) is:
- A 4
- B 2
- C 0
- D \(\pi\)
Answer & Solution
Correct Answer
(A) 4
Step-by-step Solution
Detailed explanation
Area \( = \int_{-\pi}^{\pi} |\sin x| dx \) \( = \int_{-\pi}^{0} (-\sin x) dx + \int_{0}^{\pi} \sin x dx \) \( = [\cos x]_{-\pi}^{0} + [-\cos x]_{0}^{\pi} \) \( = (\cos 0 - \cos (-\pi)) + (-\cos \pi - (-\cos 0)) \) \( = (1 - (-1)) + (-(-1) - (-1)) \) \( = (1 + 1) + (1 + 1) \)…
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