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Indefinite integral of the square of LNX
Indefinite integral of the square of LNX
In addition, LNX = t, x = e ^ t
∫lnx²dx
=∫2lnxdx
=2∫lnxdx
=2∫xlnxdlnx
=2∫(e^t)·tdt
=2∫td(e^t)
=2[(e^t)·t-∫(e^t)dt]
=2[(e^t)·t-(e^t)]+C
=2(e^t)·(t-1)+C
=2x(lnx-1)+C
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