# Homework Help: What method of integration

1. Apr 18, 2014

### kyu

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

what method should i use? i tried

u = x - 4
du = dx

i can't continue. enlighten me please

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2. Apr 18, 2014

### Zondrina

It looks like a pretty tedious partial fraction expansion.

3. Apr 18, 2014

### Staff: Mentor

That works. Keep in mind that if u = x -4, then x = u + 4. Replace x and dx in the integral with what you have for u and du, and you'll get an integral that's easy to work with.

An ordinary substitution will do the trick.

4. Apr 18, 2014

### lurflurf

It is neither tedious nor particularly helpful.

$$\frac{2x+1}{(x-4)^6}=\frac{2(x-4)+9}{(x-4)^6}$$

5. Apr 18, 2014

### NasuSama

This is quite efficient to compute the integral. ;)

6. Apr 18, 2014

### mafagafo

What do you mean?

7. Apr 18, 2014

### LCKurtz

He means it is easy.