Definite Integration Question 167

Question: Area bounded by $ y=x\sin x $ and $ x- $ axis between $ x=0 $ and $ x=2\pi , $ is

[Roorkee 1981; RPET 1995]

Options:

0

B) $ 2\pi \ \text{sq. unit} $

C) $ \pi , \text{sq. unit}$

D) $ 4\pi , \text{sq. unit} $

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Answer:

Correct Answer: D

Solution:

Required area is $ A_1+A_2=\int_0^{\pi }{ydx}+| \int _{\pi }^{2\pi }{ydx} |=4\pi \text{ sq. }unit $



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