∫ 𝑥+5𝑥 2 𝑥 2 𝑑�

It seems like there's a formatting issue with your question. However, if you're asking for the integral of (x+5x^2)/(x^2), here's how you can solve it:

Step 1: Simplify the expression. This gives us 1/x + 5.

Step 2: Now, we can integrate term by term.

The integral of 1/x dx is ln|x|.

The integral of 5 dx is 5x.

So, the integral of (x+5x^2)/(x^2) dx is ln|x| + 5x + C, where C is the constant of integration.