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Integration of multiple exponentials

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  1. Jul 9, 2017 #1
    1. The problem statement, all variables and given/known data
    I am struggling with solving this integral that seems to look easy on the surface but integration isn't my strong suit and so I'm not 100% sure on how to go about solving this:

    ∫ (120(e-15.24t - e-39984.75t))2dt

    where the integration is from 0 to 0.3

    2. Relevant equations


    3. The attempt at a solution
    I have tried using substitution for everything within the squared brackets and moved the 1202 outside of the integral. However this only seemed to make the question longer but that may simply be because I am not familiar with some techniques that I may have forgotten. This is not a homework question so any answers would be helpful.
     
  2. jcsd
  3. Jul 9, 2017 #2

    ehild

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    Moving out 1202 is a good step, but substitution does not make the integration easier. Expand (e-15.24t - e-39984.75t)2, you get three exponents, easy to integrate.
     
  4. Jul 9, 2017 #3
    Gahh see I always overlook the simple things hahah thankyou
     
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