question_answer

The area bounded by the curve \[y=x,\] x-axis and ordinates \[x=-1\] to \[x=2\] is                                           [RPET 2001]

A)            0    

B)            1/2

C)            3/2

D)            5/2

Correct Answer: D

Solution :

           Bounded area = \[\left| \int_{-1}^{0}{x\,dx} \right|+\left| \int_{0}^{2}{x\,dx} \right|\]           \[=\left| \,-\frac{1}{2} \right|+|2|\]\[=2+\frac{1}{2}=\frac{5}{2}\].