What is the integral from 0 to infinity of cos(4x) ?

The integral from 0 to infinity of cos(4x) is diverges

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integral from 0 to infinity of cos(4x)

\int_{0}^{\infty} cos (4 x) d x

diverges

Solution steps

\int_{0}^{\infty} cos (4 x) d x

Compute the indefinite integral:

\int cos (4 x) d x = \frac{1}{4} sin (4 x) + C

Compute the boundaries:

\int_{0}^{\infty} cos (4 x) d x =

diverges

= diverges

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What is the integral from 0 to infinity of cos(4x) ?
The integral from 0 to infinity of cos(4x) is diverges