Question

Area bounded by curve $y = x ^ { 3 }$ $x -$ axis and ordinates $x = 1$ and is

• A. 64 sq. unit
• B. 27 sq. unit
• C. $\frac { 127 } { 4 }$sq. unit
• D. $\frac { 255 } { 4 }$sq. unit

Answer 1

Answer: (D)

$\frac { 255 } { 4 }$sq. unit

Answer 2

Required area

$= \int _ { 1 } ^ { 4 } x ^ { 3 } d x = \left[ \frac { x ^ { 4 } } { 4 } \right] _ { 1 } ^ { 4 } = \frac { 255 } { 4 }$ sq. unit