Integration of multiple exponentials

[Mzzed]

Homework Statement

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

Homework Equations

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.

 

[ehild]

Homework Statement

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

Homework Equations

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.

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.

 

[Mzzed]

Gahh see I always overlook the simple things hahah thankyou