Given f'(x)=7cosx–11sinx and f(0)=1,

Question

find f(x)= ____?

Answer 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