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

The integral of (cos(1))/x is cos(1)ln|x|+C

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integral of (cos(1))/x

integral

\frac{cos ( 1 )}{x}

cos (1) ln ∣ x ∣ + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= cos (1) ln ∣ x ∣

Add a constant to the solution

= cos (1) ln ∣ x ∣ + C

What is the integral of (cos(1))/x ?
The integral of (cos(1))/x is cos(1)ln|x|+C