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1. Simple Antidifferentiation
2. U-substitution
3. Integration by Parts
4. Fraction Integration Strategies |
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| What are the different strategies for integrating fractions? When should you use them? |
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1. If of the form [image][image], use the power rule
2. If the derivative of the denominator is a constant multiple of the numerator, let u=denominator. [image]
3. Look for inverse trig derivatives and manipulate the fraction.
4. If the numerator's degree is greater than or equal to the degree of the denominator, use long division.
5. If the denominator is a non-factorable quadratic, complete the square.
6. If the denominator is a factorable quadratic, use partial fractions. |
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Quadratic Function
[image] |
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Square Root Function
[image] |
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Cube Root Function
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Absolute Value Function
[image] |
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