
Evaluating Definite Integrals and Substitutions
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial integral that needs to be evaluated?
Integral of e^x from 0 to 2
Integral of e^(2x) from 0 to 2
Integral of e^(x^2) from 0 to 2
Integral of e^(2x) from 2 to 4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made to simplify the integral?
U = x
U = x^2
U = 2x
U = e^x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the differential DU in terms of DX?
DU = 1/2 DX
DU = DX
DU = 2DX
DU = 3DX
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the integral rewritten in terms of U?
Integral of e^(2U) DU
Integral of e^(U^2) DU
Integral of e^U DU
Integral of e^(U/2) DU
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of e^U?
1/2 e^U + C
2e^U + C
Ue^U + C
e^U + C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exact value of the definite integral after evaluation?
12e^4 - 1
12e^2 + 1
12e^2 - 1
12e^4 + 1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the decimal approximation of the integral to four decimal places?
26.9171
26.7191
26.7911
26.1791
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