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Area between Two Curves

Find the area...

Question

Find the area bounded by y=x|sinx| and the x-axis between x=0, x=2 $π$

A

π

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B

2 π

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C

3 π

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D

4 π

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Solution

The correct option is D $4 π$
$y = {\begin{matrix} x s i n x & i f s i n x \geq 0 i . e 0 \leq x \leq π - x s i n x & i f s i n x < 0 i . e π < x \leq 2 π \end{matrix}$

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