What is the integral from 0.1 to 0.5 of (cos(x))/x ?

The integral from 0.1 to 0.5 of (cos(x))/x is \Ci(0.5)-\Ci(0.1)

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integral from 0.1 to 0.5 of (cos(x))/x

\int_{0.1}^{0.5} \frac{cos ( x )}{x} d x

Ci (0.5) - Ci (0.1)

Solution steps

\int_{0.1}^{0.5} \frac{cos ( x )}{x} d x

Use the nonelementary integral:

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

= [Ci (x)]_{0.1}^{0.5}

Compute the boundaries:

Ci (0.5) - Ci (0.1)

= Ci (0.5) - Ci (0.1)

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What is the integral from 0.1 to 0.5 of (cos(x))/x ?
The integral from 0.1 to 0.5 of (cos(x))/x is \Ci(0.5)-\Ci(0.1)