Question

Area bounded by the parabola $y ^ { 2 } = 2 x$ and the ordinates $x = 1 , x = 4$ is

• A.
• B. $\frac { 28 \sqrt { 2 } } { 3 }$ sq.unit
• C.
• D. None of these

Answer 1

Answer: (B)

$\frac { 28 \sqrt { 2 } } { 3 }$ sq.unit

Answer 2

Required area = $C D D ^ { \prime } C ^ { \prime } = 2 \times A B C D$

$= 2 \int _ { 1 } ^ { 4 } \sqrt { 2 } x ^ { 1 / 2 } d x = \frac { 28 \sqrt { 2 } } { 3 }$ sq. unit.