The integral 9x? – x3 – 18x dx MUST be -1 evaluated by breaking it up into a sum of three integrals:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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
4
The integral / 9x2 – a³ – 18x dx MUST be
evaluated by breaking it up into a sum of three
integrals:
9x2
18x| dx+
| 192? – a – 182| da+
18x dx+
a
192? – a* – 182| da
where
a =
C =
ra
9x? – a3 –
- 18z| dæ =
| |9x? – x3 – 18x| dx
-
%3D
a
4
| 92? – a – 182| da =
3
- 18x| dx
%3D
C
/ |92? – a3 – 18æ| da =
Thus
%3D
Transcribed Image Text:4 The integral / 9x2 – a³ – 18x dx MUST be evaluated by breaking it up into a sum of three integrals: 9x2 18x| dx+ | 192? – a – 182| da+ 18x dx+ a 192? – a* – 182| da where a = C = ra 9x? – a3 – - 18z| dæ = | |9x? – x3 – 18x| dx - %3D a 4 | 92? – a – 182| da = 3 - 18x| dx %3D C / |92? – a3 – 18æ| da = Thus %3D
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