Evaluating an IntegralIn Exercises 9 and 10, evaluate the integral. (Hint: See Exercise 63 in Section 14.3.)
To calculate: The value of integral .
Given: The integral .
Formula used: The gauss error function is aspecial function defined as
Where, and .
Integration by parts:
Calculation: The integral is that can be rewritten as .
Now, let and .
So, and .
Now, by use integration by parts the integral is:
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)
Calculus: Early Transcendentals
Calculus: Early Transcendental Functions
Precalculus: Mathematics for Calculus (Standalone Book)
Calculus: An Applied Approach (MindTap Course List)
Single Variable Calculus: Early Transcendentals, Volume I
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
Understanding Basic Statistics
Statistics for The Behavioral Sciences (MindTap Course List)
Single Variable Calculus
Probability and Statistics for Engineering and the Sciences
Mathematical Applications for the Management, Life, and Social Sciences
Mathematical Excursions (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Elements Of Modern Algebra
Elementary Geometry For College Students, 7e
Elementary Technical Mathematics
Trigonometry (MindTap Course List)
Contemporary Mathematics for Business & Consumers
Calculus: Early Transcendental Functions (MindTap Course List)
Calculus of a Single Variable
Finite Mathematics for the Managerial, Life, and Social Sciences
Elementary Geometry for College Students