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Question: Answered & Verified by Expert
If $\int x \sin x d x=-x \cos x+A$, then $A=$
MathematicsIndefinite IntegrationJEE Main
Options:
  • A $\sin x+$ constant
  • B $\cos x+$ constant
  • C Constant
  • D None of these
Solution:
1125 Upvotes Verified Answer
The correct answer is: $\sin x+$ constant
Since, $\int x \sin x d x=-x \cos x+A$$
\Rightarrow-x \cos x+\sin x+\text { constant }=-x \cos x+A$
Equating it, we get $A=\sin x+$ constant.

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