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Lecture

# 7.8 Improper Integrals Question #3 (Medium)

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School
University of Toronto St. George
Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
7.8 Integration Techniques Improper Integrals Question #3 (Medium): Divergent Improper Integral Strategy Check if only one end is infinity or two. If one end is infinity, also check if the other interval end affects the denominator function if there is one. Then convert the integral by adding limit as . Variable is used for no other reason than that variable is already taken for the function in the integral. Proceed to take the anti-derivative disregarding the limit at first. After the integral is evaluated, plug in the value that variable approaches. Then it should be clear whether the function is convergent or divergent! Sample Question Determine if the integral is convergent or divergent. If convergent, evaluate the integral. ∫ √ Solution Since the upper end approaches infinity, conve
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