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:

A) 0

B) $ 2\pi $ sq. unit

C) $ \pi $ sq. unit

D) $ 4\pi $ sq. unit

Show Answer

Answer:

Correct Answer: D

Solution:

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