7 g(b) Use the Substitution Formula,f(g(x))-g'(x) dx f(u) du where g(x) = u, to evaluate the following integral. g(a) 3 In 3 exdx 1+ 2x 3 In edx 1+ ex 0 (Type an exact answer, using t as needed.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
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Can you help me step by step please

7
g(b)
Use the Substitution Formula,f(g(x))-g'(x) dx
f(u) du where g(x) = u, to evaluate the following integral.
g(a)
3
In
3
exdx
1+ 2x
3
In
edx
1+ ex
0
(Type an exact answer, using t as needed.)
Transcribed Image Text:7 g(b) Use the Substitution Formula,f(g(x))-g'(x) dx f(u) du where g(x) = u, to evaluate the following integral. g(a) 3 In 3 exdx 1+ 2x 3 In edx 1+ ex 0 (Type an exact answer, using t as needed.)
Expert Solution
Step 1

Let e^x=u

So, e^x*dx=du

When x=0 then u=e^0=1

When x=ln(sqrt(3)/3) then u=e^ln(sqrt(3)/3) =sqrt(3)/3

х
e*dx du
O
3
steps

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