You are Here: Home >< Maths

# Integration Question watch

1. Can anyone explain how integration helps in calculation of the present value of a constant continuous stream of income?
2. I imagine if you were somehow able to approximate this stream as a function of time, integrating between some time and some later time would give you the approximate income earned during that time?
3. If you have total income as a function of time, and two times, and , then the income earned between the two times would be:
4. (Original post by Lusus Naturae)
If you have total income as a function of time, and two times, and , then the income earned between the two times would be:
I think you mean that, no?
5. (Original post by generalebriety)
I think you mean that, no?
Wouldn't that give us the area down to the x-axis though? I think that the income earned from onwards, up to , is just the area above the line , hence my formula.
6. (Original post by Lusus Naturae)
Wouldn't that give us the area down to the x-axis though? I think that the income earned from onwards, up to , is just the area above the line , hence my formula.
Is the area down to the time axis not what we want?

We're probably talking about two different things here...
7. (Original post by generalebriety)
We're probably talking about two different things here...
Probably, but this is one day when I don't really care.
8. (Original post by Lusus Naturae)
Probably, but this is one day when I don't really care.
Same, I'm afraid.

Better wait for someone else.

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: August 16, 2007
Today on TSR

### University open days

• Southampton Solent University
Sun, 18 Nov '18
Wed, 21 Nov '18
• Buckinghamshire New University
Wed, 21 Nov '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams