Finding the Area Between Curves - Calculus

Question

Which is the area of the region in quadrant I bounded by 2x² and 2x³?

A)

B)

C)

D)

Answer 1

The curves intersect when 2x² = 2x³

2x² - 2x³ = 0

2x²(1 - x) = 0

x = 0 or 1

Between x = 0 and x = 1, the graph of y = 2x² lies above the graph of y = 2x³.

Area bounded by the curves = ∫_{(from 0 to 1)} [upper - lower]dx = choice A