What is the integral of (sin(x))/(x^2) ?

The integral of (sin(x))/(x^2) is -(sin(x))/x+\Ci(x)+C

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integral of (sin(x))/(x^2)

integral

\frac{sin ( x )}{x ^{2}}

- \frac{sin ( x )}{x} + Ci (x) + C

Solution steps

\int \frac{sin ( x )}{x ^{2}} d x

Apply Integration By Parts

: - \frac{sin ( x )}{x} - \int - \frac{cos ( x )}{x} d x

= - \frac{sin ( x )}{x} - \int - \frac{cos ( x )}{x} d x

\int - \frac{cos ( x )}{x} d x = - Ci (x)

= - \frac{sin ( x )}{x} - (- Ci (x))

Simplify

= - \frac{sin ( x )}{x} + Ci (x)

Add a constant to the solution

= - \frac{sin ( x )}{x} + Ci (x) + C

\frac{1}{1 + x ^{2}}

\frac{1}{( 1 - x ^{2} )}

cos (\frac{x}{2})

\frac{x ^{3}}{( x + 1 ) ^{2}}

\frac{x ^{2}}{( x ^{2} + 5 )}

What is the integral of (sin(x))/(x^2) ?
The integral of (sin(x))/(x^2) is -(sin(x))/x+\Ci(x)+C