Definite Integration Question 104

Question: The area bounded by the curve $ y=x, $ x-axis and ordinates $ x=-1 $ to $ x=2 $ is

[RPET 2001]

Options:

A) 0

B) 1/2

C) 3/2

D) 5/2

Show Answer

Answer:

Correct Answer: D

Solution:

Bounded area = $ | \int _{-1}^{0}{xdx} |+| \int_0^{2}{xdx} | $

$ =| -\frac{1}{2} |+|2| $

$ =2+\frac{1}{2}=\frac{5}{2} $ .