What is the integral from 2 to infinity of In(2x-3) ?

The integral from 2 to infinity of In(2x-3) is diverges

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integral from 2 to infinity of In(2x-3)

\int_{2}^{\infty} I n (2 x - 3) d x

diverges

Solution steps

\int_{2}^{\infty} I n (2 x - 3) d x

Compute the indefinite integral:

\int I n (2 x - 3) d x = I n (- 3 x + x^{2}) + C

Compute the boundaries:

\int_{2}^{\infty} I n (2 x - 3) d x =

diverges

= diverges

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What is the integral from 2 to infinity of In(2x-3) ?
The integral from 2 to infinity of In(2x-3) is diverges