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Question

Question: Area bounded by the curve y=x sinx and x-axis between x=0 and x=2\(\pi\) is...

Area bounded by the curve y=x sinx and x-axis between x=0 and x=2π\pi is

A

B

C

D

None of these

Answer

Explanation

Solution

y = x sin x is positive for 0<x<π and negative for π x<2π.

\therefore Required area

=π+3π=4π= \pi + 3 \pi = 4 \pi