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} $ .