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

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

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integral from 0 to infinity of cos(m)x

\int_{0}^{\infty} cos (m) x d x

diverges

Solution steps

\int_{0}^{\infty} cos (m) x d x

Compute the indefinite integral:

\int cos (m) x d x = \frac{1}{2} x^{2} cos (m) + C

Compute the boundaries:

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

diverges

= diverges

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