
Integration Techniques and Applications
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Lucas Foster
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 evaluating a definite integral?
Find the derivative of the function.
Graph the function.
Apply the power rule directly.
Find the antiderivative function.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the Fundamental Theorem of Calculus, how is the definite integral calculated?
By adding the antiderivative at the lower limit to the antiderivative at the upper limit.
By subtracting the antiderivative at the lower limit from the antiderivative at the upper limit.
By multiplying the antiderivative at the lower limit by the antiderivative at the upper limit.
By dividing the antiderivative at the lower limit by the antiderivative at the upper limit.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do we need to transform the function before applying the power rule of integration?
To make the function continuous.
To express the function in the form of x raised to the power of n.
To simplify the function.
To change the limits of integration.
Tags
CCSS.7.NS.A.1C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of applying the integration rule to x raised to the power of -2?
x raised to the power of 0 divided by 0
x raised to the power of -3 divided by -3
x raised to the power of -1 divided by -1
x raised to the power of 1 divided by 1
Tags
CCSS.HSA.APR.D.7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify the expression -1 divided by x?
By moving it to the denominator.
By subtracting 1 from it.
By moving it to the numerator.
By adding 1 to it.
Tags
CCSS.7.NS.A.1C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the common denominator used to add the fractions -1/5 and 1/2?
20
15
10
5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the definite integral from 2 to 5 of 1 divided by x squared dx?
1/10
3/10
4/10
2/10
Tags
CCSS.8.F.A.3
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