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Lecture

# 7.8 Improper Integrals Question #4 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
7.8 Integration Techniques Improper Integrals Question #4 (Medium): Convergent Improper Integral Strategy If both sides of the integral are infinity, then split the integral with respect to any number, but a nice number would be beneficial in saving time for computation, like or . Then add limit with variable , since is already taken. Then solve the integral disregarding the limit, then afterward apply the value that variable t approaches to determine convergence or divergence. If convergent, as limit value is plugged in, it will figure itself out. Sample Question Determine if the integral is convergent or divergent. If convergent, evaluate the integral. ∫ Solution Since both sides approach infinity, split the integral. Since therewith no denomination, would be good. Then: . Add the
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