All integrals involving a quadratic denominator can be classified into one of six cases.
lesson notes: 07 quadratic denominators
audio: 07 quadratic denominators
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What difference does it make when arranging an object in a ircle, rather than in a line?
lesson notes: 05 arrangements in a circle
audio: 05 arrangements in a circle
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Partial fractions is decomposing an algebraic fraction back into the sum/difference of several fractions.
lesson notes: 06 partial fractions
audio: 06 partial fractions
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When solving these problems a decision on the type of problem is needed;
Use Combination when it is without replacement & order not important
Use Permutation when it is without replacement & order is important
Use Basic Counting Principle when it is with replacement
lesson notes: 04 probability & counting techniques
audio: 04 probability & counting techniques
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Integrals that involve the square root of quadratic functions can be solved using a trig substitution.
lesson notes: 05 trig substitutions
audio: 05 trig substitutions
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