What is the integral from 0 to infinity of arctan(x) ?

The integral from 0 to infinity of arctan(x) is diverges

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integral from 0 to infinity of arctan(x)

\int_{0}^{\infty} arctan (x) d x

diverges

Solution steps

\int_{0}^{\infty} arctan (x) d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{0}^{\infty} arctan (x) d x =

diverges

= diverges

\frac{\partial}{\partial x} (x - 4)

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

\frac{\partial}{\partial y} (e^{3 x - y})

\int x e^{2 - x} d x

\int \frac{1}{3} x d x

What is the integral from 0 to infinity of arctan(x) ?
The integral from 0 to infinity of arctan(x) is diverges