What is the integral of (5sin(x))/x ?

The integral of (5sin(x))/x is 5\Si(x)+C

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integral of (5sin(x))/x

\int \frac{5 sin ( x )}{x} d x

5 Si (x) + C

Solution steps

\int \frac{5 sin ( x )}{x} d x

Take the constant out:

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

= 5 \cdot \int \frac{sin ( x )}{x} d x

Use the nonelementary integral:

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

= 5 Si (x)

Add a constant to the solution

= 5 Si (x) + C

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