Integrate ln(x) with respect to y

mopar969

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Mar 22, 2010
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How do you integrate ln(x) from 1 to 3 with respect to y? Please show work and explain!
 
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\(\displaystyle Integrate \ \int\(lnxdx)\)

Integral by part :
Let U = lnx
Let dv=dx

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If no relation are given between x and y,

\(\displaystyle \int_1^3 \ln x dy = \ln x \int_1^3 dy = 2 \ln x\)
 
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