QUESTION 9 (8 points) Use a change of variables to evaluate the following definite integral. S 6x dx (3x+4) a. (1 pt) Determine a change of variables from to . Choose the correct answer below for " A. u=3x²+4 B. u=6xdx C. =(3x²+4)³ D. =3x² b. (1 pt)Find du du = c. (3 pts)Write the integral in terms of with new integration limits. 6x (3x+4) dx=(----)du d. (3 pts)Evaluate the integral. dx= (3x+4) (Type an exact answer, no decimlas) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 53E
Question
QUESTION 9
(8 points) Use a change of variables to evaluate the following definite integral.
S
6x
dx
(3x+4)
a. (1 pt) Determine a change of variables from to . Choose the correct answer below for "
A. u=3x²+4
B. u=6xdx
C. =(3x²+4)³
D. =3x²
Transcribed Image Text:QUESTION 9 (8 points) Use a change of variables to evaluate the following definite integral. S 6x dx (3x+4) a. (1 pt) Determine a change of variables from to . Choose the correct answer below for " A. u=3x²+4 B. u=6xdx C. =(3x²+4)³ D. =3x²
b. (1 pt)Find du
du =
c. (3 pts)Write the integral in terms of with new integration limits.
6x
(3x+4)
dx=(----)du
d. (3 pts)Evaluate the integral.
dx=
(3x+4)
(Type an exact answer, no decimlas)
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
Transcribed Image Text:b. (1 pt)Find du du = c. (3 pts)Write the integral in terms of with new integration limits. 6x (3x+4) dx=(----)du d. (3 pts)Evaluate the integral. dx= (3x+4) (Type an exact answer, no decimlas) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
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