Question 3 Evaluate the integral and show your work. Clearly show and justify your steps. a. Use u-subtitution to evaluate the integral f dx 4x³ √x+1 b. fe²cos(e)dx. Hint: note that ex = ee. Start by setting u = e then apply your method of choice to solve the new integral. c. f3(lnx) dx. Hint: start by letting u = (Inx)² and du = 3dx. Instructor: Sanogo 2 d. Using u-substitution evaluate Sa(na) 4 dx 2 Knowledge Check 1 e. Which integral did you find the most challenging to solve. Why? What was the challenge and how did you solve it?
Question 3 Evaluate the integral and show your work. Clearly show and justify your steps. a. Use u-subtitution to evaluate the integral f dx 4x³ √x+1 b. fe²cos(e)dx. Hint: note that ex = ee. Start by setting u = e then apply your method of choice to solve the new integral. c. f3(lnx) dx. Hint: start by letting u = (Inx)² and du = 3dx. Instructor: Sanogo 2 d. Using u-substitution evaluate Sa(na) 4 dx 2 Knowledge Check 1 e. Which integral did you find the most challenging to solve. Why? What was the challenge and how did you solve it?
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 27SE: Prove that bx=exln(b) for positive b1 .
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Transcribed Image Text:Question 3
Evaluate the integral and show your work. Clearly show and justify your steps.
a. Use u-subtitution to evaluate the integral f
4x³
√x+x
=
b. fe²* cos(e)dx. Hint: note that ex ee. Start by setting u
method of choice to solve the new integral.
c. f3(lnx)²dx. Hint: start by letting u = (Inx)² and du
=
Instructor: Sanogo
=
d. Using u-substitution evaluate f
2
x(Inx) 4
dx
2
3dx.
e then apply your
Knowledge Check 1
e. Which integral did you find the most challenging to solve. Why? What was the challenge
and how did you solve it?
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