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Area bounded ...

Question

Area bounded by $y = x s i n x$ and $x$ - axis between $x = 0$ and $x = 2 π$ , is

A

0

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B

2 π s q . u n i t

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C

π s q . u n i t

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D

4 π s q . u n i t

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Solution

The correct option is D $4 π s q . u n i t$
Required area is $A_{1} + A_{2} = \int_{0}^{π} y d x + ∣ ∣ \int_{π}^{2 π} y d x ∣ ∣ = 4 π$ sq. unit

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