Question

The area bounded by the curve y = x³, the

x-axis and the ordinates x = –2 and x = 1 is –

• A. –9
• B. –$\frac{15}{4}$
• C. $\frac{15}{4}$
• D. $\frac{17}{4}$

Answer 1

Answer: (D)

$\frac{17}{4}$

Answer 2

Required area = $\left| \int_{0}^{1}{ydx} \right|$+ $\left| \int_{- 2}^{0}{ydx} \right|$

= $\left| \int_{0}^{1}{x^{3}dx} \right|$ + $\left| \int_{- 2}^{0}{x^{3}dx} \right|$ = $\frac{1}{4}$ + 4 = $\frac{17}{4}$