Question

The area bounded by the curve y = x³, the x-axis and the ordinates x = –2 and x = 1 is

• A. –9
• B. –15/4
• C. 15/4
• D. 17/4

Answer 1

Answer: (D)

17/4

Answer 2

The bounded area is shown shaded in the fig.

The required Area =Area(OABO)

+Area(OCDO)

=$\left| \int _ { 0 } ^ { 1 } x ^ { 3 } d x \right| + \left| \int _ { - 2 } ^ { 0 } x ^ { 3 } d x \right|$ =

= $\frac { 1 } { 4 } + 4 = \frac { 17 } { 4 }$ sq. units