Chapter 13.6, Problem 1CP

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

True or false: In evaluating

(a) the parts *u* and *dv* are selected and the parts *du* and *v* are calculated.

(b) the differential (often *dx)* is always chosen as part of *dv.*

(c) the parts *du* and v are found from *u* and *dv* as follows:

(d) For

**(a)**

To determine

Whether the provided statement “In evaluating

Explanation

Integration by parts is an integration technique that uses a formula that follows from the product rule of derivatives,

On integrating this formula by rearranging the differentials, the formula for integration by parts is obtained as,

Clearly, in the formula, the terms

For example, consider the integral,

Now, split the integrand into two parts setting one part equal to

So, the values will be:

And,

Then,

And,

**(b)**

To determine

Whether the provided statement “In evaluating

**(c)**

To determine

Whether the provided statement “In evaluating

**(d)**

To determine

Whether the provided statement “For

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