Help with this integration problem please.

[josephabney]

Hi, on my calc home work i have this problem "Find a function f(x) given that f prime(x) = 3-3e^x and f(0) = 6"
Now I can easily integrate the function to get -3e^x +3x +C but I don't know how I am supposed to define it or whatever or what to do when f(0) = 6? Any help would be appreciated!

 

[Otis]

You need to find the value of C.

f(x) equals 6 when x is 0, yes?

Substitute 0 for x in your result, then set that expression equal to 6, and solve the equation for C.

Cheers :cool:

 

[josephabney]

Thanks!

Thank you!

 

[Steven G]

Thank you!

So what did you get for C, and why? What is f(x) equal to?