Question

Find the function f(x) that has the given derivative and the given value.

f'(x)=5x^2+3x-2 and f(1)=-1

Answer 1

I got f(x)= (5/3)x^3+(3/2)x^2-2x+C
Is that right?
If it is, I don't know what to do next.

Answer 2

yes it is..

Answer 3

put x=1 and equal to -1

Answer 4

to find out C

Answer 5

So -1=(5/3)(1)^3+(3/2)(1)^2-2(1)+C and solve for C?

Answer 6

yes..