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

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

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integral of (sin(x))/x)

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

d Si (x) + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Use the nonelementary integral:

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

= d Si (x)

Add a constant to the solution

= d Si (x) + C

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