Determine the integral J I = 6 x√√x²+4 dx. 1. ln ° ¹. 1 = − 3 lm | √²² + 4 + 2 | + 0 x 1 2. I = In ® 3. 1 = − 3 lm | √² + 4 − 2 | + C I - - x 4. I √²²³ + 4 = ² | + C 2 6. I = -2 - ₁ | √² + 4 = 2 | + C In X X 5. I = − 3 ln | √² + 4 +ª|+C 2 In 3 √x² + 4 + ²√ + C

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
Determine the integral
S
I =
6
x√x²+4
dx.
C
1. I
2. I =
3. I
4. I
- 3 ln
==
X 5. I
| √æ² +4+2 | +0
+C
x
1
x²+4
| | | | √ ²² +1 -1 | +0
= -3n|√²+4-2|+C
== In
- 1 1₁ | √ ²² +4 = 2 | + C
+C
x
==
- 3 ln
√x² + 4 + ² | + C
2
1
* 6 7 = 1₁ | √²² +4 + 1 | +€
6. I
In
C
Transcribed Image Text:Determine the integral S I = 6 x√x²+4 dx. C 1. I 2. I = 3. I 4. I - 3 ln == X 5. I | √æ² +4+2 | +0 +C x 1 x²+4 | | | | √ ²² +1 -1 | +0 = -3n|√²+4-2|+C == In - 1 1₁ | √ ²² +4 = 2 | + C +C x == - 3 ln √x² + 4 + ² | + C 2 1 * 6 7 = 1₁ | √²² +4 + 1 | +€ 6. I In C
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