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

-9 -\(\frac{15}{4}\) \(\frac{15}{4}\) \(\frac{17}{4}\)

\(\frac{15}{4}\)

Area = \(\int_{-2}^{1}d\)x x3         = \(|\frac{x^4}{4}|_{-2}^{1}\)        = \(\frac{15}{4}\) sq. units