Evaluate each of the following integrals and simplify completely. int x ln (x)dx

Jeremiah Moore

Jeremiah Moore

Open question

2022-08-18

Evaluate each of the following integrals and simplify completely.
xln(x)dx

Answer & Explanation

Shaniya Yang

Shaniya Yang

Beginner2022-08-19Added 5 answers

Step 1
The following is the detailed answer:
Step 2
xln(x) dx 
=ln(x)x dx (d dx (lnx)x dx ) dx 
=ln(x)x221xx22 dx 
=x22ln(x)12x dx 
=x22ln(x)1212x2+C
=x22ln(x)x24+C
in which C denotes the integration constant.

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