Consider the integral al fa"e-dz. To use integration by parts, we might let u = OI" 1 Oe Or and du = O z Or" dr Odr O e dr dz dr

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Question 14

Consider the integral \(\int x^n e^{-x} \, dx\).

To use integration by parts, we might let \( u = \)

- \( x^n \)
- 1
- \( e^{-x} \)
- \( x \)

and \( dv = \)

- \( x \, dx \)
- \( x^n \, dx \)
- \( dx \)
- \( e^{-x} \, dx \)
Transcribed Image Text:### Question 14 Consider the integral \(\int x^n e^{-x} \, dx\). To use integration by parts, we might let \( u = \) - \( x^n \) - 1 - \( e^{-x} \) - \( x \) and \( dv = \) - \( x \, dx \) - \( x^n \, dx \) - \( dx \) - \( e^{-x} \, dx \)
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