MHT CET · Maths · Indefinite Integration
\(\int x^2 \cos x \mathrm{~d} x=\)
- A \(x^2 \sin x+2 x \cos x-2 \sin x+\mathrm{c}\) where c is the constant of integration
- B \(x^2 \sin x-2 x \cos x-2 \sin x+\mathrm{c}\) where \(c\) is the constant of integration
- C \(x^2 \sin x-2 x \cos x+2 \sin x+c\) where c is the constant of integration
- D \(x^2 \sin x+2 x \cos x+2 \sin x+c\) where \(c\) is the constant of integration
Answer & Solution
Correct Answer
(A) \(x^2 \sin x+2 x \cos x-2 \sin x+\mathrm{c}\) where c is the constant of integration
Step-by-step Solution
Detailed explanation
\(\int x^2 \cos x \, dx\) Let \(u=x^2\), \(dv=\cos x \, dx\). Then \(du=2x \, dx\), \(v=\sin x\).
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