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To state: The rule for
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Explanation of Solution
Explanation to state the rule for integration by parts:
The rule that corresponds to the Product Rule for
The product Rule states that if f and g are differentiable functions, then
Integrate both sides of the Equation for indefinite integrals.
Consider
Differentiate both sides of the above Equations.
Substitute u for
Therefore, the rule for integration by parts is
Example to use the rule for integration by parts:
Consider the integral function
Consider
Differentiate both sides of the Equation.
Consider
Integrate both sides of the Equation.
Substitute x for u, dx for du,
Therefore, the value of the integral function
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Chapter 6 Solutions
Essential Calculus
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
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