SOLUTION: Find the area of the region bounded by the two curves. y = x^2 + 3 y = 7x + 3

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Question 368791: Find the area of the region bounded by the two curves.
y = x^2 + 3
y = 7x + 3

Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
Let's see...the two figures intersect at (0,3) and at (7,52)...we have to integrate the difference of the functions from x = 0 to x = 7, so we have
Area = Integral from 0 to 7 of
= Integral from 0 to 7 of (7x - x^2)
= evaluated from 0 to 7...
=

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