What is the integral from 1 to infinity of x/(5+x^2) ?

The integral from 1 to infinity of x/(5+x^2) is diverges

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integral from 1 to infinity of x/(5+x^2)

\int_{1}^{\infty} \frac{x}{5 + x ^{2}} d x

diverges

Solution steps

\int_{1}^{\infty} \frac{x}{5 + x ^{2}} d x

Compute the indefinite integral:

\int \frac{x}{5 + x ^{2}} d x = \frac{1}{2} ln 5 + x^{2} + C

Compute the boundaries:

\int_{1}^{\infty} \frac{x}{5 + x ^{2}} d x =

diverges

= diverges

5 (2 x (3 x^{2} - 1)^{2} + 12 x (3 x^{2} - 1))

- \frac{1}{2} e^{- 2 x}

\int x - a d x

\int \frac{1}{( x - 2 ) ^{\frac{3}{2}}} d x

\int \frac{3}{e ^{x}} d x

What is the integral from 1 to infinity of x/(5+x^2) ?
The integral from 1 to infinity of x/(5+x^2) is diverges