MAT136H1 Lecture Notes - Partial Fraction Decomposition, Function Type
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MAT136H1 Full Course Notes
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Non-rational functions refer to those containing root functions in either the numerator or denominator, but also those that include trigonometric or exponential functions. Either way, a simple variable is used to substitute as the building block to represent the function type. Then factor the denominator, split the rational function, then take integral. Remember to re-substitute back in the original expression. By substitution express the integral as a rational function and then evaluate the integral. First factor the function in the denominator, so that: ( )( ). Notice the rational function is in the form of chain rule. Apply partial fractions: ( ) ( ) means.
