

Integration of Exponential Functions
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Sophia Harris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the integral of e raised to the square root of x?
Perform u-substitution
Differentiate the function
Apply the power rule
Use integration by parts
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the u-substitution method, what is u set equal to?
x
e^x
x^2
sqrt(x)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is du expressed in terms of x?
2 * x^(1/2) dx
x^(1/2) dx
1/2 * x^(-1/2) dx
e^x dx
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made for dx in terms of du?
dx = x du
dx = 1/2 * sqrt(x) du
dx = e^u du
dx = 2 * sqrt(x) du
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What technique is used to solve the integral after substitution?
Trigonometric substitution
Integration by parts
Direct integration
Partial fraction decomposition
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In integration by parts, what is the formula used?
Integral of u dv = u v / integral of v du
Integral of u dv = u v * integral of v du
Integral of u dv = u v + integral of v du
Integral of u dv = u v - integral of v du
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of e^u du?
1/2 e^u + C
u e^u + C
e^u + C
2 e^u + C
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