question_answer

The   area   bounded   by   the   curves \[f(x)=9{{x}^{2}}-9x+2,\,\,g(x)=9{{x}^{2}}-18x+8\]and \[x=1\] is

A) \[\frac{1}{3}\]   

B)                    \[\frac{1}{2}\]

C) \[\frac{2}{3}\]                   

D)    \[\frac{3}{4}\]

Correct Answer: B

Solution :

\[\Rightarrow \]Area \[\int\limits_{2/3}^{1}{f(x)-g(x)dx=\frac{1}{2}}\]