What is the integral from 0 to pi/6 of (cos(x))/x ?

The integral from 0 to pi/6 of (cos(x))/x is \Ci(pi/6)

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integral from 0 to pi/6 of (cos(x))/x

\int_{0}^{\frac{π}{6}} \frac{cos ( x )}{x} d x

Ci (\frac{π}{6})

Solution steps

\int_{0}^{\frac{π}{6}} \frac{cos ( x )}{x} d x

Use the nonelementary integral:

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

= [Ci (x)]_{0}^{\frac{π}{6}}

Compute the boundaries:

Ci (\frac{π}{6})

= Ci (\frac{π}{6})

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What is the integral from 0 to pi/6 of (cos(x))/x ?
The integral from 0 to pi/6 of (cos(x))/x is \Ci(pi/6)