CUET · MATHS · PYQ PAPER 2023
If \(I=\int_0^\pi x \sin x d x\), then
- A \(I=-\pi\)
- B \(I=2 \pi\)
- C \(I=2\)
- D \(I=\pi\)
Answer & Solution
Correct Answer
(D) \(I=\pi\)
Step-by-step Solution
Detailed explanation
\(2I = \pi \int_0^\pi \sin x dx\) \(2I = \pi [-\cos x]_0^\pi = \pi (-\cos \pi - (-\cos 0)) = \pi (1+1) = 2\pi\) \(I = \pi\)
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