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# core 3 intergrating question help!!! watch

1. I am really stuck on this question : intergrating lnx/x

help would be appreciated!
2. (Original post by xxSweetTooth)
I am really stuck on this question : intergrating lnx/x

help would be appreciated!
∫ ln(x)/x .dx

let u = ln(x)

-> ∫u/x .dx

-> du = 1/x ,dx

-> solve for x.dx and you'll get x = 1/du
-> substitute
∫u/(1/du) = ∫u du
= u²/2 + C
->substitute the original u = ln(x)
= [ln(x)]² / 2 + C

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Updated: January 15, 2010
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