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

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

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

\int_{1}^{\infty} \frac{1}{1 + n ^{2}}

diverges

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

diverges

= diverges

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