Solve ∫e^(1/x) / x^3 dx from -1 to 0

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The integral ∫e^(1/x) / x^3 dx from -1 to 0 is an improper integral that requires careful handling. To solve it, integration by parts is suggested, with a substitution of u = 1/x as a preliminary step. This substitution simplifies the expression and makes the integration process more manageable. The discussion emphasizes the importance of addressing the limits of integration due to the improper nature of the integral. Ultimately, using these techniques will lead to a solution for the integral.
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∫e^(1/x) / x^3 dx ?

This has to be simple it's an improper integral from -1 to 0
How to solve?
 
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Use integration by parts.
 
You might want to try the substitution u =1/x first, then parts.
 

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