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Homework Statement
Find the primitive function s(t) for v(t)=3(sin(3t) + cos(3t)) for which s(0)=0
The Attempt at a Solution
v(t) =3(sin(3t) + cos(3t)) = 3sin3t +3cos3t
s(t) =cos3t -sin3t + C
0 = cos3(0) - sin3(0) + C
0= 1 + C
C=-1
such that my primitive function is cos3t - sin3t - 1
My teacher got another answer:
s(t) = -cos(3t) + sin(3t) + C
and s(0) = 0 = -1 + 0 + C such that C= 1 and the primitive function is sin3t -cos3t + 1
has he made a mistake? or am I confused?