# Integrating (2x^2+1)/x dx

## Homework Statement

I haven't done much math for years.

just a little reminder would be very appreciated.

when you take integral for (2x^2+1)/x dx

I believe this can break down into integral 2x dx + integral 1/x dx

What I wondered about was is this summation of those two as written above

or the subtraction (integral 2x dx - integral 1/x dx)

thanks.

## The Attempt at a Solution

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Pengwuino
Gold Member
You have it right. The integral can be split into two integrals like you have.

HallsofIvy
$$\frac{2x^2+ 1}{x}= \frac{2x^2}{x}+ \frac{1}{x}= 2x+ \frac{1}{x}$$