Evaluate the integral without using tables. \int_{0}^{1}x\ln x dx

sibuzwaW 2021-11-07 Answered
Evaluate the integral without using tables.
01xlnxdx
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Expert Answer

Willie
Answered 2021-11-08 Author has 95 answers
Evaluate the integrals as follows:
Substitute u=lnx,du=1xdx,v=x,v=x22  udv=uvvdu.
01xln(x)dx=[12x2ln(x)x2dx]01
=[12x2ln(x)x24]01
=14
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