document.write( "Question 363520: ∫(ln(x))/(√(x)) \n" ); document.write( "

Algebra.Com's Answer #259246 by Fombitz(32388) $\"\"$ $\"About$

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Integrate by parts,
\n" ); document.write( " $\"int%28u%2Cdv%29=uv-int%28v%2Cdu%29\"$
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\n" ); document.write( " $\"u=ln%28x%29\"$ , $\"dv=dx%2Fsqrt%28x%29\"$
\n" ); document.write( " $\"du=dx%2Fx\"$ , $\"v=2sqrt%28x%29\"$
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\n" ); document.write( "Substituting,
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\n" ); document.write( " $\"int%28ln%28x%29%2Fsqrt%28x%29%2Cdx%29=2%2Aln%28x%29%2Asqrt%28x%29-4%2Asqrt%28x%29%2BC\"$
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\n" ); document.write( " $\"highlight%28int%28ln%28x%29%2Fsqrt%28x%29%2Cdx%29=2%2Asqrt%28x%29%28ln%28x%29-2%29%2BC%29\"$ \n" ); document.write( "

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