Write a definite integral that represents the area of the region. (Do not evaluate the integral.)

Question

Y1=x^2

y2=x^3

write a definite integral that represents the area of the region. (do not evaluate the integral)

Answer 1

I'm assuming that the region is the area between f(x) = x² and g(x) = x³.

The intersection between the two curves is:

x²=x³

x²(x-1) = 0 --> x = 0,1

Area = ∫_a^b f(x)-g(x) dx = ∫₀¹ x²-x³ dx