What is the integral from 0 to x/2 of (sin(x))/x ?

The integral from 0 to x/2 of (sin(x))/x is \Si(x/2)

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integral from 0 to x/2 of (sin(x))/x

\int_{0}^{\frac{x}{2}} \frac{sin ( x )}{x} d x

Si (\frac{x}{2})

Solution steps

\int_{0}^{\frac{x}{2}} \frac{sin ( x )}{x} d x

Use the nonelementary integral:

\int \frac{sin ( x )}{x} d x = Si (x)

= [Si (x)]_{0}^{\frac{x}{2}}

Compute the boundaries:

Si (\frac{x}{2})

= Si (\frac{x}{2})

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What is the integral from 0 to x/2 of (sin(x))/x ?
The integral from 0 to x/2 of (sin(x))/x is \Si(x/2)