Question

Let f′′(x)=24x2+6, f(1)=10, f′(1)=4

Then f(x)=?

Answer 1

integrate f double prime, and then use the fact that f prime=4 to find the constant, then integrate again to find f(x)

Answer 2

*that f prime at 1 =4, thats key

Answer 3

do you know how to integrate 24x^2 + 6?

Answer 4

no

Answer 5

\(\int (24x^2 + 6)dx = \int 24x^2 dx + \int 6dx = 24\int x^2dx + 6\int dx\)

now can you integrate it?

Answer 6

ohhhh

Answer 7

tell me when you have found the integral :)