Question

The area bounded by the parabola $y=4x^2,X$- axis between the ordinates $x=2,x=4$ is:

• A. $\frac{224}{3}$ sq. units
• B. $\frac{125}{3}$ sq. units
• C. $\frac{122}{3}$ sq. units
• D. $\frac{121}{3}$ sq. units

Answer 1

The correct option is A $\frac{224}{3}$ sq. units

Area of shaded area=$\stackrel{4}{\underset{2}{\int }}4x^{2}dx$
=$\frac{4x^3}{3}{|}_2^4$

$=\frac{224}{3}squnits$