Question

Area bounded by the curves $y=[\frac{x^2}{64}+2],y=x-1$ and $x=0$ above $x-$axis is ($[.]$ denotes the greatest integer function.)

• A. $2$.sq.unit
• B. $3$.sq.unit
• C. $4$.sq.unit
• D. none of these

Answer 1

The correct option is C $4$.sq.unit

From the figure shown
$-8<x<8\Rightarrow y=2$
$\therefore$ Required Area$=\frac{1}{2}(1+3)\times 2$
$=4$.sq.unit.