Work Problem [50 points] Choose one correct answer from the drop-down multiple choice menu box. Consider the integral 1 = √2 + √16 I • The substitution that should be used to evaluate the integral I is: Substitution 1 x = 2 sin 0 Substitution 2 x = 2 sec 0 Substitution 3 x = 2 tan 0 0 16 - x² dx a Substitution 4 x = 4 sin 0 • Thus, the corresponding triangle used to express the answer with respect to the variable x is: A B Substitution 5 x = 4 sec 0 √x²-a² Substitution 6 x = 4 tan 6 O

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Work Problem [50 points] Choose one correct answer from the drop-down multiple choice menu box.
Consider the integral
I
1 = √x + √16.
• The substitution that should be used to evaluate the integral I is:
Substitution 1
x = 2 sin 0
Substitution 2 Substitution 3 Substitution 4
x = 2 sec 0
x = 2 tan 0
x = 4 sin 0
• Thus, the corresponding triangle used to express the answer with respect to the variable x is:
0
Va²-x²
Va²+x²
8
6
a
16 - x² dx
a
X
a
X
X
A
B
√x²-a²
Substitution 5 Substitution 6
x = 4 sec 0
x = 4 tan 0
C
O
Transcribed Image Text:Work Problem [50 points] Choose one correct answer from the drop-down multiple choice menu box. Consider the integral I 1 = √x + √16. • The substitution that should be used to evaluate the integral I is: Substitution 1 x = 2 sin 0 Substitution 2 Substitution 3 Substitution 4 x = 2 sec 0 x = 2 tan 0 x = 4 sin 0 • Thus, the corresponding triangle used to express the answer with respect to the variable x is: 0 Va²-x² Va²+x² 8 6 a 16 - x² dx a X a X X A B √x²-a² Substitution 5 Substitution 6 x = 4 sec 0 x = 4 tan 0 C O
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