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Lecture

# 5.2 Integration & Anti-derivatives Definite Integrals Question #6 (Medium)

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

Description
5.2 Integration & Anti-derivatives Definite Integrals Question #6 (Medium): Inequality Based on the Comparison Property of Integral Strategy The inequality based on the comparison property of integral, where ∫ ∫ ( ) ∫ , sets the lower and upper bound estimate for the integral. It is not safe to assume that the beginningvalue of the interval ]corresponds to the absolute minimum and the end value to the absolute maximum of ( ) . Make sure to check by taking the first derivative of ( ), then set it to zero, such that( ) to get the critical value. Then check the sign of ( ) with respect to the criticalvalues to see which one is the max and min value. Sample Question Estimate the integral by setting up the inequality based on the Comparison Property of Integral. ∫ √ Solution This property of integral uses the absolute min and max values over the interval ], so that: ∫ ∫ ( ) ∫ . If familiar with the gr
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