SOLUTION: Find the area bounded by f(x) and p(x) on [-1,2] using an antiderividant theory where as: f(x) = x^2 p(x) = x + 2 ... and graph

Algebra.Com
Question 85498: Find the area bounded by f(x) and p(x) on [-1,2] using an antiderividant theory where as:
f(x) = x^2
p(x) = x + 2
... and graph

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!

Dominant: x + 2
Recessive: x^2


| 2 / -1
(x^2/2 + 2x - x^3/3) - (x^2/2 + 2x - x^3/3)
(2^2/2 + 2*2 - 2^3/3) - ((-1)^2/2 + 2*-1 - (-1)^3/3)
(2 + 4 - 8/3) - (1/2 - 2 + 1/3)
2 + 4 - 8/3 - 1/2 + 2 - 1/3
8 - 9/3 - 1/2
7 1/2 - 3
4 1/2 units^2

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