S dx . Consider ½/₂ Using rationalizing substitution, what will be z and its corresponding integral? + x 1/2₁ 1 x ¹/²2; 2 √ ——²/2 A z = x dz 1+z² ℗ 2 - x 1/4; + √(2-1 + 2 + 1)^²= B |z= 4 1+ dz z+1 none of the choices |z= x¹/4; 4 = 22 di dz ℗ 2 = x ¹/²2; 2 √ √ + 1/² d² dz 1+2

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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dx
√√2/2/2
+ x
= x ¹/²2; 2 √ =—=1 / 2²
+
1/4: 4√√2-1+
Consider
(A)
B
z = x ¹/4;
C) none of the choices
(D)
z = x ¹/4; 4
(Ε
E
Z = X
Z=
Using rationalizing substitution, what will be z and its corresponding integral?
dz
z+1
Z
√ √ ² ²
1 + 2'
x ¹/², 2/———2 d²
dz
1+z
dz
dz
Transcribed Image Text:dx √√2/2/2 + x = x ¹/²2; 2 √ =—=1 / 2² + 1/4: 4√√2-1+ Consider (A) B z = x ¹/4; C) none of the choices (D) z = x ¹/4; 4 (Ε E Z = X Z= Using rationalizing substitution, what will be z and its corresponding integral? dz z+1 Z √ √ ² ² 1 + 2' x ¹/², 2/———2 d² dz 1+z dz dz
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