5x² √√3x² +1 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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For each problem, state the formula number, u and du, identify any constants, and show any constant “adjustments” / "Multiply by 1” if needed. Use one of the formulas from the given formula sheet

[5x² √√3x² +1 dx
Transcribed Image Text:[5x² √√3x² +1 dx
26. √u² ±a³] ) + €
[√u²
*√√u² ± a² du = = = (u√u² ± a ² ± a ² In │u + ·
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
u²√√u² ± a² du = 1²/ [u (2u² ± a²) √u² ± a² − a²¹ ln\u + √u² ± a²|] + C
√ √₁² + ² = √² + 0² - « le ² + √₁² +2³² +0
a+√u²+
-du
a²a ln
+C
U
U
√u²-a²
U
√u² ±a²
u²
1²
/
1-
|u|
-du= √u²- a² - a arcsec + C
a
-du =
u² ±a²
1
u√u² + a²
- du =
du = ln u + √u² ± a² + C
u²
√ √²²²
u² + a²
-√u² ±a²
/=
1
du arcsec
1
u²√/u² ±a²
1
(u²+ a²)³/2
U
a
-du =
-du= F·
+ ln u + √u² ±a² +C
a+√u²+ a²
|u|
a
du
=-
= ²/² (u√w² ± a²ª = a² ]n[u + √u² ±a² ) + C
√u² ±a²
a²u
U
+C
+ C
+C
tu
+ C
a²√u²+ a²
Transcribed Image Text:26. √u² ±a³] ) + € [√u² *√√u² ± a² du = = = (u√u² ± a ² ± a ² In │u + · 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. u²√√u² ± a² du = 1²/ [u (2u² ± a²) √u² ± a² − a²¹ ln\u + √u² ± a²|] + C √ √₁² + ² = √² + 0² - « le ² + √₁² +2³² +0 a+√u²+ -du a²a ln +C U U √u²-a² U √u² ±a² u² 1² / 1- |u| -du= √u²- a² - a arcsec + C a -du = u² ±a² 1 u√u² + a² - du = du = ln u + √u² ± a² + C u² √ √²²² u² + a² -√u² ±a² /= 1 du arcsec 1 u²√/u² ±a² 1 (u²+ a²)³/2 U a -du = -du= F· + ln u + √u² ±a² +C a+√u²+ a² |u| a du =- = ²/² (u√w² ± a²ª = a² ]n[u + √u² ±a² ) + C √u² ±a² a²u U +C + C +C tu + C a²√u²+ a²
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