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integration by parts

American  

noun

  1. Mathematics. a method of evaluating an integral by use of the formula, ∫udv = uv − ∫vdu.


Example Sentences

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Use integration by parts with u = x and dv = sin x dx to evaluate ∫ x sin x dx.

From Textbooks • Mar. 30, 2016

It is important to keep in mind that when we apply integration by parts, we may need to try several choices for u and dv before finding a choice that works.

From Textbooks • Mar. 30, 2016

We can evaluate this new integral by using integration by parts again.

From Textbooks • Mar. 30, 2016

In some cases, as in the next two examples, it may be necessary to apply integration by parts more than once.

From Textbooks • Mar. 30, 2016

Figure 3.2 To find the area of the shaded region, we have to use integration by parts.

From Textbooks • Mar. 30, 2016