In (53) e 6x In order to evaluate dx, a u-substitution is employed so that the resulting integral becomes 12x 25 + e In (5) 6 In (545) B e 6x dx =k 25 + e 12x du. 1+u? In (5) Use this information to answer parts (a)-(d). (a) Find u and du for the above substitution. ..... (b) Find the constant k. and du = u= (c) Find the limits of integration A and B. k= (d) Evaluate the integral. and B=| A = In (545) 6x dx 25+ e 12x In (5)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 81E
Question
In (543)
6x
In order to evaluate
dx, a u-substitution is employed so that the resulting integral becomes
12x
25 + e
In (5)
In (543)
B
, 6x
1
du.
1+u?
dx = k
In (5)
25 + e 12x
Use this information to answer parts (a)-(d).
(a) Find u and du for the above substitution.
.....
(b) Find the constant k.
and du =
u=
(c) Find the limits of integration A and B.
k=D
(d) Evaluate the integral.
A =
and B =
In (543)
e 6x
dx =
25 + e 12x
In (5)
6
Transcribed Image Text:In (543) 6x In order to evaluate dx, a u-substitution is employed so that the resulting integral becomes 12x 25 + e In (5) In (543) B , 6x 1 du. 1+u? dx = k In (5) 25 + e 12x Use this information to answer parts (a)-(d). (a) Find u and du for the above substitution. ..... (b) Find the constant k. and du = u= (c) Find the limits of integration A and B. k=D (d) Evaluate the integral. A = and B = In (543) e 6x dx = 25 + e 12x In (5) 6
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