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

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

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

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

diverges

Solution steps

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

Compute the indefinite integral:

\int ln (2 x - 3) d x = x ln (2 x - 3) - x + \frac{3}{2} - \frac{3}{2} ln ∣ 2 x - 3 ∣ + C

Compute the boundaries:

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

diverges

= diverges

\int_{0}^{1} (1 - x^{2})^{7} d x

\int_{- 2}^{1} \frac{1}{x - x ln ( x )} d x

\int_{0}^{1} (1 - x^{4})^{5} d x

\int_{0}^{1} (1 - x^{4})^{4} d x

\int_{1}^{3} \frac{2 x + 3}{x + 1} d x

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