Evaluating a Definite integral In Exercises 9–12, use integration by parts to evaluate the definite integral.
To calculate: The definite integral of
Given Information:
The provided integral is
Formula used:
The method of integration by parts:
If
Steps to solve the integral problems:
Step1: At first find the most complicated portion of the integrand and try to letter it as
Step2: First find the factor whose derivative is simple and consider it as
Calculation:
Recall the provided integral.
In the above integrand, the simplest portion of the integrand is
Therefore,
And,
Integrate the above expression for
Again, apply the integration by parts.
Substitute
Single Variable Calculus: Early Transcendentals, Volume I
Precalculus: Mathematics for Calculus (Standalone Book)
Multivariable Calculus
Calculus: Early Transcendental Functions
Calculus: Early Transcendentals
Applied Calculus
Finite Mathematics and Applied Calculus (MindTap Course List)
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
Finite Mathematics
Intermediate Algebra
Mathematical Applications for the Management, Life, and Social Sciences
Probability and Statistics for Engineering and the Sciences
Mathematical Excursions (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Trigonometry (MindTap Course List)
Elementary Technical Mathematics
Elements Of Modern Algebra
Elementary Geometry For College Students, 7e
Contemporary Mathematics for Business & Consumers
Calculus of a Single Variable
Calculus: Early Transcendental Functions (MindTap Course List)
Finite Mathematics for the Managerial, Life, and Social Sciences
Elementary Geometry for College Students
Multivariable Calculus
Calculus (MindTap Course List)
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
Mathematics: A Practical Odyssey
Research Methods for the Behavioral Sciences (MindTap Course List)
Introduction To Statistics And Data Analysis
Statistics for Business & Economics, Revised (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
STATISTICS F/BUSINESS+ECONOMICS-TEXT
College Algebra (MindTap Course List)
Mathematics For Machine Technology