What is the net area between f(x)=x^3-x^2+5 in x in[2,5] and the x-axis?

1 Answer
Mar 4, 2018

128.25

Explanation:

the area under a curve from point a to point b is the Definite integral of that curve evaluated from point a to point b

therefore,
area from a to b under the curve f(x) = int_a^b f(x) dx

therefore, after integrating your above function
we get its antiderivative as
F(x) = 1/4x^3 - 1/3x^2 + 5x

the antiderivative of f(x) Is usually named as F(x)

now, Subtract the value of F(x) at a from its value at b

= F(b) - F(a)

and you get
128.25
=