Posted by lindsay on Saturday, April 14, 2012 at 11:15pm.
if dy/dx = 3x+5 , then
y = (3/2)x^2 + 5x + c
when x=2, y = 5
5 = (3/2)(4) + 10 + c
5 = 6 + 10 + c
c = -11
f(x) = (3/2)x^2 + 5x - 11
f(3) = (3/2)(9) +15 - 11 = 35/2
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