Question

The area of the region bounded by the curve $y=x^3,x$-axis and the ordinates $x=1,x=4$ is :

• A. $\frac{255}{4}$ sq. units
• B. $\frac{225}{2}$ sq. units
• C. $\frac{125}{3}$ sq. units
• D. $\frac{124}{3}$ sq. units

Answer 1

Answer: (A)

$\frac{255}{4}$ sq. units

$\stackrel{4}{\underset{1}{\int }}{x}^{3}dx$
$\frac{x^4}{4}{|}_1^4$
$\frac{4^4}{4}-1/4$
$=\frac{255}{4}sq.units$