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QUESTION

What is the integral of ##ln(sqrt(x))##?

By part :

##intln(sqrt(x))dx##

##du = 1## ##u = x##

##v = ln(sqrt(x))## ##dv = 1/(2x)##

##[xln(sqrt(x))]-1/2intdx##

##[xln(sqrt(x))-1/2x]##

##[1/2x(ln(x)-1)+C]##

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