What is the integral from 1 to infinity of in(x^2) ?

The integral from 1 to infinity of in(x^2) is diverges

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integral from 1 to infinity of in(x^2)

\int_{1}^{\infty} in (x^{2}) d x

diverges

Solution steps

\int_{1}^{\infty} in x^{2} d x

Compute the indefinite integral:

\int in x^{2} d x = \frac{in x ^{3}}{3} + C

Compute the boundaries:

\int_{1}^{\infty} in (x^{2}) d x =

diverges

= diverges

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What is the integral from 1 to infinity of in(x^2) ?
The integral from 1 to infinity of in(x^2) is diverges