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Power series representing ∫sinx/x

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Ryantruran
#1
Apr3-12, 07:09 PM
P: 9
1. The problem statement, all variables and given/known data

Find the Power Series representing
g(x)=∫sin(x)/x


2. Relevant equations

sin(x)= x-(x^3/3!)+(x^5/5!)-(x^7/7!)


3. The attempt at a solution

I Havent attempted yet but was wondering if you start with the maclaurin series of sin(x)
then divide everything by x then integrate the entire summation
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Mark44
#2
Apr3-12, 07:10 PM
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P: 21,216
Quote Quote by Ryantruran View Post
1. The problem statement, all variables and given/known data

Find the Power Series representing
g(x)=∫sin(x)/x


2. Relevant equations

sin(x)= x-(x^3/3!)+(x^5/5!)-(x^7/7!)


3. The attempt at a solution

I Havent attempted yet but was wondering if you start with the maclaurin series of sin(x)
then divide everything by x then integrate the entire summation
Yes, that's what you do.


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