# Calculus

Given f'(x)=7cosx–11sinx and f(0)=1,

find f(x)= ____?

1. 👍 0
2. 👎 0
3. 👁 113
1. f(x) = 7sinx + 11cosx + c
f(0) = 1 , so
1 = 7sin0 + 11cos0 + c
1 = 0 + 11 + c
c = -10

f(x) = 7sinx + 11cosx - 10

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2. 👎 0
posted by Reiny

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