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Lecture

# 7.4 Integration of Rational Functions by Partial Fractions Question #5 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
7.4 Integration Techniques Partial Fractions for Rational Functions Question #5 (Medium): Rationalizing Substitutions Strategy 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. Sample Question By substitution express the integral as a rational function and then evaluate the integral. ∫ Solution First factor the function in the denominator, so that: ( )( ). Notice the rational function is in the form of chain rule.
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