How to solve this?\[\int xe^{6x}dx \]

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24-11-2016
Mathematics

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How to solve this?\[\int xe^{6x}dx \]

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syed514 syed514 · Answer 1 · 2016-11-25T17:25:02+01:00

syed514 syed514

25-11-2016

Let u = x
dv = e^(6x) dx
v = e^(6x)/6
du = dx
uv - ∫v du
x*e^(6x)/6 - ∫e^(6x)/6 dx eval. from 0 to 1
x*e^(6x)/6 - e^(6x)/36 eval. from 0 to 1
= e^(6)/6 - e^(6)/36 + 1/36
= (5*e^6 + 1)/36

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