Question

Let $f\left(x\right)=x^2-3x+2\forall xϵR$ then area bounded by $f\left(x\right)$, x-axis and y-axis in square meter is

• A. $\frac{2}{3}$
• B. $\frac{5}{6}$
• C. $\frac{3}{5}$
• D. $\frac{1}{3}$

Answer 1

Answer: (B)

$\frac{5}{6}$

$\because f\left(x\right)=x^2-3x+2=(x-1)(x-2)$
$\therefore$ Required area $={\int }_0^{1}f\left(x\right)dx$
$={\int }_0^1(x^2-3x+2)dx=\frac{5}{6}$ Square units
Hence choice (b) is correct answer.