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November 18th, 2015, 01:57 PM   #1
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Bounds of integration with inequality constraint

Hi, all. If the integral of a function when y>1 goes from 1 to infinity, then why does an integral of a function for 0<x<15 also start at 1 (and then of course go to 15)?
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November 18th, 2015, 02:15 PM   #2
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It doesn't sound right. Clarify! Actually the integral can be defined to be over a part of the domain.
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November 18th, 2015, 02:46 PM   #3
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The most likely reason is that the function is zero between 0 and 1.
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November 18th, 2015, 03:03 PM   #4
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Sorry, but I don't understand either reply. Let me rephrase. The density function is f(y)=2/y^3 for y>1 and the integral goes from 1 to infinity. Another function is f(x) = 0.5003e^(-x/2) for 0<x<15 and the integral goes from 1 to 15. Why is that? Sorry for taking so long to reply as I am new to this forum!
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November 18th, 2015, 03:40 PM   #5
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Typo?
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November 18th, 2015, 03:48 PM   #6
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No, there is no typo.
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November 19th, 2015, 02:51 PM   #7
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Quote:
Originally Posted by Math1stlove View Post
Sorry, but I don't understand either reply. Let me rephrase. The density function is f(y)=2/y^3 for y>1 and the integral goes from 1 to infinity. Another function is f(x) = 0.5003e^(-x/2) for 0<x<15 and the integral goes from 1 to 15. Why is that? Sorry for taking so long to reply as I am new to this forum!
Although the function is defined for 0<x<15, the integral doesn't have to be over the entire interval. You are free to integrate over any piece that you want. You need to give us the exact wording of the question.
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November 19th, 2015, 03:00 PM   #8
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Okay, please type "soa problems exam p"
into the Google search engine and click on the
first link. Then, look at problems 53 and 54 and explain
why both integrand start at 1. Btw, there are also
solutions if you type in the above-mentioned quote
and put solutions after what is already quoted.
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November 19th, 2015, 05:17 PM   #9
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They're probably accounting for the 1000 deductible. The first $1000 of damage don't matter.
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November 20th, 2015, 04:33 AM   #10
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I see! I knew I could count on you!
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