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28 April, 20:04

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

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  1. 28 April, 21:57
    0
    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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