question_answer

Area bounded by the lines \[y=x,\,\,x=-1,\,\,x=2\] and \[x-\]axis is

A)            \[\frac{5}{2}\]sq. unit       

B)            \[\frac{3}{2}\]sq. unit

C)            \[\frac{1}{2}\]sq. unit       

D)            None of these

Correct Answer: A

Solution :

                   Required area \[\int_{-1}^{2}{\,y\,dx}=\int_{-1}^{0}{\,y\,.\,dx+\int_{0}^{2}{y\,.\,dx=\frac{5}{2}}}\]sq. unit.