Question

The area bounded by the curve $y = 4 x - x ^ { 2 }$ and the $x -$axis, is

• A. $\frac { 30 } { 7 }$ sq. unit
• B. $\frac { 31 } { 7 }$ sq. unit
• C. $\frac { 32 } { 3 }$ sq. unit
• D. $\frac { 34 } { 3 }$ sq. unit

Answer 1

Answer: (C)

$\frac { 32 } { 3 }$ sq. unit

Answer 2

We have $y = 4 x - x ^ { 2 }$ and$y = 0$;$\therefore$ $x = 0$, $4$

Required area

$= 32 - \frac { 64 } { 3 } = \frac { 32 } { 3 }$sq. unit.