Determine the area of the region bounded by the curve Y= x3 – 3x2 + 2 and the x-axis?

Question

In computing for the area use either inscribed or circumscribed rectangles or a combination.

Answer 1

You can use the integral of the equation.

Assuming: y = x^3 - 3x^2 + 2

area = 1/4x ^4 - 9x^3 + 2x ... If I remember my hs math

Answer 2

S=Int 1 X^3-3x^2+2 dx
-a
= (1/4)x^4-x^3+2x I 1
I a
=1/4-1+2+(1/4)a^4-a^3+2a
=5/4 +(1/4)a^4-a^3+2a
a is hard to determine. a is approximatly -3/4