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

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

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integral from 2 to infinity of x/(x^2-3)

\int_{2}^{\infty} \frac{x}{x ^{2} - 3} d x

diverges

Solution steps

\int_{2}^{\infty} \frac{x}{x ^{2} - 3} d x

Compute the indefinite integral:

\int \frac{x}{x ^{2} - 3} d x = \frac{1}{2} ln x^{2} - 3 + C

Compute the boundaries:

\int_{2}^{\infty} \frac{x}{x ^{2} - 3} d x =

diverges

= diverges

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\int_{0}^{π} sin (2 x) cos (n x) d x

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