53. g(x) = (2x 47² +1 3x - 1 2 - du 3x 3x Hint: [³* ƒ(u) du = ſº¸ ƒ(u) du + √³* ƒ (u) du J2x 2x 54. g(x) = {1+2x ₁2xt sin t sin t dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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53&54

53-56 Find the derivative of the function.
[3x U² 1
№2x _u² + 1
53. g(x)
=
du
3x
Hint: [2* f(u) du = ['_ f(u) du + [** ƒ(u) du]
*3x
√2x
J2x
0
1+2x
54. g(x) = {¹+²x t sin t dt
1-2x
55. h(x) = f*cos(1²) dt
1
56. g(x) -√2+ s dr
dt
14
=
Transcribed Image Text:53-56 Find the derivative of the function. [3x U² 1 №2x _u² + 1 53. g(x) = du 3x Hint: [2* f(u) du = ['_ f(u) du + [** ƒ(u) du] *3x √2x J2x 0 1+2x 54. g(x) = {¹+²x t sin t dt 1-2x 55. h(x) = f*cos(1²) dt 1 56. g(x) -√2+ s dr dt 14 =
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