#Integration by parts

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agile inlet
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What are the steps in between for this integration by parts? I don't know what to pick as u or dv and how to get du and v.

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thorny stagBOT
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crude sandal
# agile inlet What are the steps in between for this integration by parts? I don't know what t...

https://en.wikipedia.org/wiki/Integration_by_parts#LIATE_rule

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Integration by parts

In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and antiderivative. It is frequently used to transform the antiderivative of a product of functions into an antiderivative...

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  • imagine "L" being the hardest to integrate
  • followed by "I" (inverse trigonometric funtions)
  • ...
  • "E" (exponentials) are easiest to integrate
    choose "dv" to be the factor that's easier to integrate with "dx"
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use tabular method to keep things organised

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agile inlet
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I already got it but thank you, I'll save that

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In my case I'm already using u as the variable instead of x, can I just do u = u, du = du and so on or should I change "u" for a different letter?

crude sandal
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if u/v has already been used for sth else, then you have to use another label.

agile inlet
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Okay thank you

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