This week in Calculus, we learned partial fractions and how to use a table to integrate easier. I think partial fractions are pretty easy, but that's being said with fingers crossed! So, let me try to explain what i don't understand. How do you know what part of the equation to use to find the right equation in the table?
So, let me explain partial fractions.
1. How do you know its a partial fraction?
Well duhhh sillies, its going to have a fraction with some quadratics
2. So, then what do you do? You need to break the fraction up.
3. You break up the fraction, by factoring the bottom and rewriting it as multiple new fractions.
4. Take the separate denominators with a numerator of A, B, C, or D.
5. Next, you create a common denominator and set that equal to the numerator of the initial fraction.
6. You then pick convient values to solve for the variables of the equation.
7. After you find the values, you plug everything back in to the fractions you created
8. Integrate
9. And hopefully box off the correct answerrrr!
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Basically u = your x term.
ReplyDeleteSo if you have a U in the table equation, that is your x term in your equation.
Just plug in. dx could be equal to something other than just (dx) in some cases.
I would do a problem, but I don't have any in front of me.