Evaluating an Improper Integral In Exercises 13-16, explain why the integral is improper and determine whether it diverges or converges. Evaluate the integral if it converges.
If the integral is improper, will the integral converge and determine the value of the integral. The graph of the integral is shown below
The provideddiagram for the integral is is
To check if the function is improper, and determine the point of infinite discontinuity
For this consider and find :
The point of discontinuity lies between upper limit and lower limit.
∴, it is concluded that given function is not continuous on interval .
Hence, given integral is improper.
Now, known fact is that, an improper integral converges when the limit of the integral exists.
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started
Finite Mathematics and Applied Calculus (MindTap Course List)
Precalculus: Mathematics for Calculus (Standalone Book)
Calculus: Early Transcendental Functions
Calculus: An Applied Approach (MindTap Course List)
Single Variable Calculus: Early Transcendentals, Volume I
Calculus: Early Transcendentals
Essentials Of Statistics
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Calculus (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Statistics for The Behavioral Sciences (MindTap Course List)
Understanding Basic Statistics
Single Variable Calculus
Mathematical Applications for the Management, Life, and Social Sciences
Mathematical Excursions (MindTap Course List)
Probability and Statistics for Engineering and the Sciences
Single Variable Calculus: Early Transcendentals
Trigonometry (MindTap Course List)
Elements Of Modern Algebra
Elementary Geometry For College Students, 7e
Elementary Technical Mathematics
Contemporary Mathematics for Business & Consumers
Calculus: Early Transcendental Functions (MindTap Course List)
Calculus of a Single Variable
Elementary Geometry for College Students
Finite Mathematics for the Managerial, Life, and Social Sciences