integral [1 to 2] (lnx)^2/(x^3)

how would i solve this

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- Jul 29th 2010, 08:21 AMkensingtonhelp needed integral [1 to 2] (lnx)^2/(x^3)
integral [1 to 2] (lnx)^2/(x^3)

how would i solve this - Jul 29th 2010, 08:35 AMmathaddict
- Jul 29th 2010, 08:35 AMPlato
- Jul 29th 2010, 08:44 AMHallsofIvy

When I see a ln(x)**and**an x in the denominator, the first thing I think of is to substitute u= ln(x). Then . In this problem that still leaves in the denominator but if u= ln(x), then and .

The integral becomes which can be done by integration by parts.