SOLUTION: I am trying to figure out the indefinite integral for: (the symbol of a long slim S comes first)  (4x^2 + 3x – 5) dx Also, What is C(x) if C’(x) = 3x^2 – 4x + 7 an

Algebra ->  Rational-functions -> SOLUTION: I am trying to figure out the indefinite integral for: (the symbol of a long slim S comes first)  (4x^2 + 3x – 5) dx Also, What is C(x) if C’(x) = 3x^2 – 4x + 7 an      Log On


   

Question 126835: I am trying to figure out the indefinite integral for: (the symbol of a long slim S comes first)
 (4x^2 + 3x – 5) dx
Also,
What is C(x) if C’(x) = 3x^2 – 4x + 7 and fixed costs are $500?
Thank you for your assistance with these questions.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
int%284x%5E2-3x-5%2Cdx%29

Remember
int%28f%28x%29%2Bg%28x%29%2Cdx%29=int%28f%28x%29%2Cdx%29%2Bint%28g%28x%29%2Cdx%29
int%28a%2Af%28x%29%2Cdx%29=a%2Aint%28f%28x%29%2Cdx%29
and
int%28x%5En%2Cdx%29=%28x%5E%28n%2B1%29%2F%28n%2B1%29%29%2Bc

int%284x%5E2-3x-5%2Cdx%29=4x%5E3%2F3-3x%5E2%2F2-5x%2BC

dC%28x%29%2Fdx=3x%5E2-4x%2B7 (the rendering system won't allow the C' notation)

C%28x%29=int%28dC%28x%29%2Fdx%2Cdx%29%2BC and the 500 fixed costs are the C.

So