**Question was determine the present value P of a continous income flow of c(t) dollars per year, if c(t)=30000+500t , r=7% , t=5** **note that ** **can somone tell me if i did this right? this is a take home question for extra credit and i wanna make sure im right. Im a little confused because i dont know what to put as an answer. do i plug in r and t and get a numer or do i leave the equation for the answer. if i plug in r and t i get -5.451778105X10^10 which looks really wrong lol.** .

For the first integral, let

so that

. Then

The second integral is integrated by parts: Let

and

. Then

, and using the above work,

. So

. Again using the above work, this becomes

.

Putting the above results together