# Calculus

What is the total change of f(x), if f'(x) = 2x - 3x^2, over the interval [0, 3]?

1. 👍 0
2. 👎 0
3. 👁 120
1. if f ' (x) = 2x- 3x^2
f(x) = x^2 - x^3 + c

f(0) = 0-0+c
f(3) = 9 + 27 + c = 36+c

change from f(0) to f(3)
= 36+c - c
= 36

1. 👍 0
2. 👎 0
posted by Reiny
2. My only options are:

-12
6
-18
-6

1. 👍 0
2. 👎 0
posted by Jamie
3. Oops. Flipped a minus sign

f(3) = 9-27+c = -18+c

total change is thus -18

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2. 👎 0
posted by Steve

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