Question

The area (in sq. units) of the region bounded by the parabola, $y=x^2+2$ and the lines, $y=x+1,x=0$ and $x=3,$ is :

• A. $\frac{15}{4}$
• B. $\frac{15}{2}$
• C. $\frac{21}{2}$
• D. $\frac{17}{4}$

Answer 1

The correct option is B $\frac{15}{2}$

Req. area $={\int }_0^3(x^2+2)dx-\frac{1}{2}\cdot 5.3=9+6-\frac{15}{2}=\frac{15}{2}$