Integrals Find Antideriavites

Question

Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.)

f ''(x) = 32x³ − 15x² + 10x

F(x) =

Find f.

f ''(x) = −2 + 30x − 12x²,    f(0) = 2,    f '(0) = 14

f(x) =

I'm not very good at integrals, but I am somewhat good at deriving equations from f, just not the other way around...

Answer 1

You need to know 2 basic things for this problem:

∫ xⁿ dx = (1/n+1)xⁿ⁺¹ and the integral of a sum is the sum of the integrals.

If that is not enough information for you to do the problem, post a comment for more help.