x2 + 3x – 1 Vx + 5 dx

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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+3x 1x+5 dx
434+C =3(x+ 5)43(2x2-5)20+C
Let, x + 5 = u ; +x = u – 5
+ du = dx
S (u – 5)? + 3(u – 5) - 1] Va du
= / us [(u? - 10u + 25) + 3% – 15 – 1] du
= / us [u? – 7u + 9] du
= นร - ใน + 94 d๔
- )--(
2+1
+ 9
+ C
+1
+1
+1
- ) -
(출)기
+ 9
+ C
10
- 3u3
273
+ C
4
10
Undo substitution u = x+ 5 :
10
3(x+ 5) 3
27(x+ 5)
- 3(x + 5) +
10
Transcribed Image Text:+3x 1x+5 dx 434+C =3(x+ 5)43(2x2-5)20+C Let, x + 5 = u ; +x = u – 5 + du = dx S (u – 5)? + 3(u – 5) - 1] Va du = / us [(u? - 10u + 25) + 3% – 15 – 1] du = / us [u? – 7u + 9] du = นร - ใน + 94 d๔ - )--( 2+1 + 9 + C +1 +1 +1 - ) - (출)기 + 9 + C 10 - 3u3 273 + C 4 10 Undo substitution u = x+ 5 : 10 3(x+ 5) 3 27(x+ 5) - 3(x + 5) + 10
((43メー)Jts dk
Transcribed Image Text:((43メー)Jts dk
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