Question

In the following diagram the area of the shaded portion is

• A. $\frac{74}{5}$
• B. $\frac{74}{3}$
• C. $\frac{72}{3}$
• D. $\frac{72}{5}$

Answer 1

The correct option is B $\frac{74}{3}$

Area $=\underset{2}{\overset{4}{\int }}(x^2+3)dx={[\frac{x^3}{3}+3x]}_2^4$
$=\frac{64}{3}+12-\frac{8}{3}-6$
$\Rightarrow$ Area $=\frac{56}{3}+6=\frac{74}{3}$ sq. units