the function is c = 15te(adsbygoogle = window.adsbygoogle || []).push({}); ^{-.2t}

the goal is to integrate it from t = 0 to t = 3

so to set up the integral i took out the 15 first so i got:

15 * integral from 0 to 3 of t*e^{-.2t}

i set u = t and so du = dt

dv = e^{-.2t}dt so v= -5e^{-.2t}

so following the integration by parts formula i got:

15(-5*e^{-.2t}+ 5* integral of e^{-.2t}dt

then after integrating the second part i got

15(-5e^{-.2t}- 25e^{-.2t}) evaluated from 0 to 3

when evaluated i got

(-123/4826181 - 205.8043635)-(-75-375) = 120.7130184

but thats wrong,

anyone have any hints or sees any mistakes that i made?

thanks

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# Homework Help: Integration by parts of a function

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