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

sibuzwaW

sibuzwaW

Answered question

2021-11-07

Evaluate the integral without using tables.
01xlnxdx

Answer & Explanation

Willie

Willie

Skilled2021-11-08Added 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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