What is the integral of (sin(y))/y ?

The integral of (sin(y))/y is \Si(y)+C

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integral of (sin(y))/y

\int \frac{sin ( y )}{y} d y

Si (y) + C

Solution steps

\int \frac{sin ( y )}{y} d y

Use the nonelementary integral:

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

= Si (y)

Add a constant to the solution

= Si (y) + C

\int 2 x + 7 d x

\int \frac{x ^{3}}{4 + x ^{2}} d x

y = - (2 x - 2)^{\frac{1}{3}}, (- 3, 2)

\frac{1}{2} \frac{d y}{d x} = y + 1 cos (x)

y = e^{2 x^{2}}