Integrate (1+(1/x))^x

  • Thread starter Phys_Boi
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  • #1
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Homework Statement


∫(1+(1/x))^x dx

Homework Equations


How do I integrate this compound intrest e approximation

The Attempt at a Solution


Inside: x + ln(|x|) + C
Outside: (a^x)/(ln(a))
 

Answers and Replies

  • #2
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I would be extremely susprised if it has a closed form for the integral.
 
  • #3
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I would be extremely susprised if it has a closed form for the integral.
Thanks. I'm new and don't know a lot.. However the ti-84 will give me a value for a definite integral. I don't know how.
 
  • #4
Ray Vickson
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Thanks. I'm new and don't know a lot.. However the ti-84 will give me a value for a definite integral. I don't know how.

Exactly what definite integral are you entering? That is, what are the integration limits? Is the answer "symbolic" or "numerical"?
 
  • #5
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A specific definite integral can be way easier than an analytic expression for the indefinite integral.
 
  • #6
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Oh okay. Thanks.
 

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