What is the integral of cos(x) 1/x ?

The integral of cos(x) 1/x is \Ci(x)+C

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integral of cos(x) 1/x

\int cos (x) \frac{1}{x} d x

Ci (x) + C

Solution steps

\int cos (x) \frac{1}{x} d x

Simplify

cos (x) \frac{1}{x} : \frac{cos ( x )}{x}

= \int \frac{cos ( x )}{x} d x

Use the nonelementary integral:

\int \frac{cos ( x )}{x} d x = Ci (x)

= Ci (x)

Add a constant to the solution

= Ci (x) + C

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