Question

Area bounded by curve $y=x^3$, x-axis and ordinates $x=1$ and $x=4$, is

• A. 64 sq. unit
• B. 27 sq. unit
• C. $\frac{127}{4}$ sq. unit
• D. $\frac{255}{4}$

Answer 1

The correct option is D $\frac{255}{4}$

Required area =${\int }_1^4{x}^{3}dx={\left[\frac{x^4}{4}\right]}_1^4=\frac{255}{4}$ sq. unit.