Definite Integration Question 229

Question: The area bounded by the $ x- $ axis and the curve $ y=\sin x $ and $ x=0, $

$ x=\pi $ is

[Kerala (Engg.) 2002]

Options:

A) 1

B) 2

C) 3

D) 4

Show Answer

Answer:

Correct Answer: B

Solution:

The curve is symmetric about x-axis, Shaded area $ =2\int_0^{\pi /2}{\sin xdx=2[-\cos x]_0^{\pi /2}=2} $ .