What is the integral from 1 to infinity of ln(x^7) ?

The integral from 1 to infinity of ln(x^7) is diverges

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integral from 1 to infinity of ln(x^7)

\int_{1}^{\infty} ln (x^{7}) d x

diverges

Solution steps

\int_{1}^{\infty} ln (x^{7}) d x

Compute the indefinite integral:

\int ln (x^{7}) d x = 7 x ln (x) - 7 x + C

Compute the boundaries:

\int_{1}^{\infty} ln (x^{7}) d x =

diverges

= diverges

What is the integral from 1 to infinity of ln(x^7) ?
The integral from 1 to infinity of ln(x^7) is diverges