# Calculate the integral. {eq}\displaystyle \int \frac {3 x + 2} {x^2 (x - 2)}\ dx {/eq}.

## Question:

Calculate the integral.

{eq}\displaystyle \int \frac {3 x + 2} {x^2 (x - 2)}\ dx {/eq}.

## Indefinite Integral :

Here we will use the Partial Fraction decomposition method in order to determine the given integral -

$$\frac {P(x)}{x^{2}(x-a)} = \frac {A}{x} + \frac {B}{x^{2}} + \frac {C}{(x-a)}$$

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The integral which we have to evaluate is given as -

$$I = \int_{}^{} \; \frac {(3x+2) \; dx}{x^{2} (x-2)}$$

Now we will use the Partial fraction...

Indefinite Integral: Definition, Rules & Examples

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Chapter 7 / Lesson 14
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Learn the concept and rules of indefinite and definite integrals, as well as how to find an indefinite integral through examples. View a table of integrals.