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

Algebra ->  Surface-area -> SOLUTION: Find the area of the region bounded by the two curves. y = x^2 + 3 y = 7x + 3       Log On


   

Question 368791: Find the area of the region bounded by the two curves.
y = x^2 + 3
y = 7x + 3
Answer by fractalier(6550) About Me  (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 7x+%2B+3+-+%28x%5E2+%2B+3%29
= Integral from 0 to 7 of (7x - x^2)
= %287%2F2%29x%5E2+-+%281%2F3%29x%5E3%29 evaluated from 0 to 7...
= %287%2F2%29%2849%29+-+%281%2F3%29%28343%29