Evaluating a Definite Integral In Exercises 39-46, use integration by parts to evaluate the definite integral. See Example 5.
To calculate: The value of definite integral
Given Information:
The provided definite integral is
Formula used:
The integration by parts
Where,
Calculation:
Consider the definite integral
Here,
First find
On further solving,
Now find
Differentiate both side with respect
And,
Apply integration by parts formula and substitute equation (1) and (2) in
Use integration by parts on the second integral
Here,
First find
On further solving,
Now find
Differentiate both side with respect
And,
Calculus: Early Transcendental Functions
Single Variable Calculus: Early Transcendentals, Volume I
Calculus: Early Transcendentals
Finite Mathematics and Applied Calculus (MindTap Course List)
Precalculus: Mathematics for Calculus (Standalone Book)
Multivariable Calculus
Applied Calculus
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Essentials Of Statistics
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
Intermediate Algebra
Finite Mathematics
Mathematical Applications for the Management, Life, and Social Sciences
Contemporary Mathematics for Business & Consumers
Elements Of Modern Algebra
Trigonometry (MindTap Course List)
Elementary Technical Mathematics
Elementary Geometry For College Students, 7e
Mathematical Excursions (MindTap Course List)
Calculus: Early Transcendental Functions (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Calculus of a Single Variable
Elementary Geometry for College Students
Finite Mathematics for the Managerial, Life, and Social Sciences
Multivariable Calculus
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
Research Methods for the Behavioral Sciences (MindTap Course List)
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Mathematics For Machine Technology
Introduction To Statistics And Data Analysis
College Algebra (MindTap Course List)
Statistics for Business & Economics, Revised (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
Calculus (MindTap Course List)