What is the integral from 1 to infinity of arccot(x) ?

The integral from 1 to infinity of arccot(x) is diverges

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integral from 1 to infinity of arccot(x)

\int_{1}^{\infty} arccot (x) d x

diverges

Solution steps

\int_{1}^{\infty} arccot (x) d x

Compute the indefinite integral:

\int arccot (x) d x = x arccot (x) + \frac{1}{2} ln x^{2} + 1 + C

Compute the boundaries:

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

diverges

= diverges

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What is the integral from 1 to infinity of arccot(x) ?
The integral from 1 to infinity of arccot(x) is diverges