Calculus problem the Integral of 1/x(sqrt(1-(lnx)^2) dx
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Calculus problem the Integral of 1/x(sqrt(1-(lnx)^2) dx

[From: ] [author: ] [Date: 11-08-09] [Hit: ]
= arcsin(ln x) + C.I hope this helps!......
Having some issues figuring out how to do this problem, it is 1 over x times the square root of one minus ln x squared all multiplied by dx.

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Use the substitution u = ln x, du = (1/x) dx.

So, ∫ dx / [x √(1 - (ln x)²)]
= ∫ du / √(1 - u²)
= arcsin u + C
= arcsin(ln x) + C.

I hope this helps!

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kb answer is perfect
1
keywords: of,Integral,sqrt,Calculus,lnx,dx,problem,the,Calculus problem the Integral of 1/x(sqrt(1-(lnx)^2) dx
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