Fill in the blanks.
1. The
To fill: “The integration by parts formula is obtained by reversing the _______ Rule. The formula for integration by parts is
Answer to Problem 1CRQ
The integration by parts formula is obtained by reversing the product Rule. The formula for integration by parts is
Explanation of Solution
Choose u and v as differentiable functions with respect to x.
Then, by the product rule,
Integrate and simplify this equation as follows.
So, the integration by parts formula is obtained by reversing the product rule.
The formula for integration by parts is
This method y depends on the choice of u and dv.
There are some guidelines to choose u and dv such that, dv should be simpler than u.
In this formula, dv is the part to integrate. So, dv should be easy to integrate.
Thus, “the integration by parts formula is obtained by reversing the product Rule. The formula for integration by parts is
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Chapter 7 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage