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Question: Answered & Verified by Expert
Area bounded by $y=x \sin x$ and $x$ - axis between $x=0$ and $x=2 \pi$, is
MathematicsArea Under CurvesJEE Main
Options:
  • A $0$
  • B $2 \pi$ sq. unit
  • C $\pi$ sq. unit
  • D $4 \pi$ sq. unit
Solution:
2476 Upvotes Verified Answer
The correct answer is: $4 \pi$ sq. unit
Required area is
$A_1+A_2=\int_0^\pi y d x+\left|\int_\pi^{2 \pi} y d x\right|=4 \pi \text { sq.unit }$

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