If f'(x)=sinx and f(pi)=3, then f(x)=

Question

A. Cosx+4
B. Cosx+3
C. -cosx+2
D. -cosx-2
E. -cosx+4

Answer 1

f'(x)=sin(x)
then by the derivative of trig functions, f(x)=-cos(x)+C
Now solve for C in
f(π)=-cos(π)+C=3

Answer 2

-cosx+2

Answer 3

3 + cosx