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# 6 2 Notes

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### 6 2 Notes

1. 1. 6.2 Integration By Parts Goal: to integrate functions that are products<br />Product Rule<br />Let f(x) and g(x) be a differentiable functions of x<br />
2. 2. Integrate by Parts:<br />OR<br />
3. 3. We need to figure out: <br /><ul><li> which factor is the easier factor to take the derivative of (u or f(x)) </li></ul> and <br /><ul><li> which one is easier to integrate (dv or g’(x))</li></li></ul><li>Guidelines:<br /><ul><li>Let u have a derivative simpler than itself (like a general power rule derivative)
4. 4. Let dv be the most complex function that fits a basic integration formula (like ex)</li></li></ul><li><ul><li>Most common uses of integration by parts:
5. 5. 1
6. 6. 2</li></li></ul><li><ul><li> Most common uses of integration by parts:
7. 7. 3
8. 8. 4</li></li></ul><li>Examples:<br />
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