
Understanding the Method of Substitution in Integration

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Olivia Brooks
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 using the method of substitution for integration?
Choose a function to differentiate.
Find the antiderivative directly.
Select a part of the integrand to substitute.
Determine the limits of integration.
Tags
CCSS.HSF-BF.B.4A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can the absolute value of x be ignored in this integration problem?
Because the function is even.
Because the derivative is constant.
Because the limits of integration are both positive.
Because x is always negative.
Tags
CCSS.HSF-BF.B.4A
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the inverse secant function?
x times the square root of x squared minus 1
x divided by the square root of x squared minus 1
1 divided by the product of x and the square root of x squared minus 1
1 divided by the square root of x squared minus 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you adjust the differential to match the integrand?
Divide both sides by 2
Multiply both sides by 2
Add a constant to both sides
Subtract a constant from both sides
Tags
CCSS.HSF.TF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the new lower limit of integration when x equals the square root of 2?
pi divided by 6
pi divided by 4
pi divided by 3
pi divided by 2
Tags
CCSS.HSF.TF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cosine function value when the secant function value is 2?
1/2
1
Square root of 2
2
Tags
CCSS.HSA.APR.D.7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of 2u with respect to u?
2u cubed
u squared
2u squared
u cubed
Tags
CCSS.HSA.APR.D.7
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