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

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

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

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

Si (π)

Solution steps

\int_{0}^{π} \frac{sin ( x )}{x} d x

Use the nonelementary integral:

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

= [Si (x)]_{0}^{π}

Compute the boundaries:

Si (π)

= Si (π)

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

\int_{1}^{\infty} \frac{x}{2 ^{x}} d x

\int_{1}^{3} x^{2} + 1 d x

\int_{1}^{2} x^{2} - \frac{1}{2} d x

\int_{2}^{3} (2 x - x^{2}) d x

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