What is the integral from 3 to infinity of (xln(x)) ?

The integral from 3 to infinity of (xln(x)) is diverges

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integral from 3 to infinity of (xln(x))

\int_{3}^{\infty} (x ln (x)) d x

diverges

Solution steps

\int_{3}^{\infty} x ln (x) d x

Compute the indefinite integral:

\int x ln (x) d x = \frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4} + C

Compute the boundaries:

\int_{3}^{\infty} (x ln (x)) d x =

diverges

= diverges

\int_{0}^{1} e^{3 x^{2}} d x

\int_{0}^{2} r^{2} d r

\int_{0}^{3} \frac{3 x}{1 + x} d x

\int_{0}^{x + y} e^{x} (y + 2 z) d z

\int_{0}^{3} \frac{x - 1}{x + 1} d x

What is the integral from 3 to infinity of (xln(x)) ?
The integral from 3 to infinity of (xln(x)) is diverges