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

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

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

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

Si (y)

Solution steps

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

Use the nonelementary integral:

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

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

Compute the boundaries:

Si (y)

= Si (y)

\int_{0}^{l n (5)} 3 e^{2 x} d x

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

\int_{0}^{2} 4 \cdot 2^{- x} - 1 d x

\int_{1}^{2} x arcsec (x) d x

\int_{0}^{1} (- ln (x))^{2} d x

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