integrate for me? (1 Viewer)

baby_pea

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hi,

can someone integrate ln squared for me please

thats really it.
 

KFunk

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I assume you're talking about &int; (lnx)<sup>2</sup>dx in which case use integration by parts where:

u = (lnx)<sup>2</sup> , u' = 2lnx/x
v'= 1 , v=x

&int; 1.(lnx)<sup>2</sup>dx

= x(lnx)<sup>2</sup> - 2&int; lnx dx (then use integration by parts again on lnx where u = lnx)

= x(lnx)<sup>2</sup> - 2( xlnx - 2&int;dx)

= 2x - 2xlnx + x(lnx)<sup>2</sup> + C
 

baby_pea

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you legend! gosh i hadn't even thought of using product rule :eek:
 

Slidey

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You were right the first time - KFunk used a variation of product rule called integration by parts.
 

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