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

The integral of (cos^2(x))/(x^2) is -(cos^2(x))/x-\Si(2x)+C

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

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

- \frac{cos ^{2} ( x )}{x} - Si (2 x) + C

Solution steps

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

Apply Integration By Parts

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

\int \frac{sin ( 2 x )}{x} d x = Si (2 x)

= - \frac{cos ^{2} ( x )}{x} - Si (2 x)

Add a constant to the solution

= - \frac{cos ^{2} ( x )}{x} - Si (2 x) + C

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