Question

Area bounded by the curve $y=x^2$, $x$-axis and line $x=1$, is

• A. $\frac{1}{3}squnit$
• B. $\frac{1}{2}squnit$
• C. $1squnit$
• D. None of these

Answer 1

The correct option is A $\frac{1}{3}squnit$

Area $={\int }_0^1{x}^{2}dx$

$={\left[\frac{x^3}{3}\right]}_0^1=\frac{1}{3}squnit$