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# Integrate (4x-6)/2x^2-6x

### Formulas

$\int x^2\left(2x-3\right)dx-3x^2$

## Step-by-step explanation

Problem

$\int\left(\frac{4x-6}{2} x^2-6x\right)dx$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int-6xdx+\int x^2\frac{4x-6}{2}dx$

$\int x^2\left(2x-3\right)dx-3x^2$
$\int\left(\frac{4x-6}{2} x^2-6x\right)dx$

### Main topic:

Integral calculus

0.42 seconds