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

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

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

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

Si (x)

Solution steps

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

Use the nonelementary integral:

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

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

Compute the boundaries:

Si (x)

= Si (x)

\int_{e^{y}}^{y} \frac{y ln ( x )}{x} d x

\int_{0}^{0.4} sin (x^{2}) d x

\int_{0}^{1} \frac{x ^{3}}{1 + x ^{2}} d x

\int_{0}^{π} cos (θ) sin (θ) d θ

\int_{0}^{1} x^{4} (2 + 2 x^{5})^{5} d x

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