Question

Find f if f'(x)= 2t-3sin(t) and f(0)= 5.

Answer 1

Start by integrating f'.

Answer 2

is f(t)=t^2+3cos(t) ?

Answer 3

And a constant.

Answer 4

no its that plus a constant C

to evaluate C substitute x = 0 and f(0) = 5

Answer 5

would the answer be f(t)=t^2+3cos(t)+2

Answer 6

How did you get that?

Answer 7

i plugged 0 for x and ended up with 3 but to get 5, since f(0)=5 I made the C=2, but I dont know if im right

Answer 8

You're very right.