- #1
PullMeOut
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Homework Statement
This is the integration i have to solve
I=[tex]\int x^{2}In(1-exp(-ax))dx[/tex]
integration is from zero to infinity
The Attempt at a Solution
I know that it should be solved with integration by parts
so
u=In(1-exp(-ax))
du=[a exp(-ax)] / [1-exp(-ax)]
dv=x[tex]^{2}[/tex]dx
v=x[tex]^{3}[/tex] /3
when i put this into the integration formula
I=u*v-[tex]\int v*du[/tex]
it becomes more complicated
I=In(1-exp(-ax))*x[tex]^{3}[/tex]/3 - [tex]\int dx * (x^3/3) * [a exp(-ax)] / [1-exp(-ax)][/tex]
so what should i do after this , i can't figure it out, am i doing it wrong?