
Integration Techniques and Applications
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard
Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary method discussed for solving integrals where the exponent in the denominator is one more than the numerator?
Integration by parts
Partial fraction decomposition
U-substitution
Trigonometric substitution
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do if your initial u-substitution does not work?
Give up and move on
Try a different substitution
Use a calculator
Ask for help
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the successful u-substitution example, what was u redefined as?
The exponent
The numerator
The constant
The entire denominator
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied after rewriting the integral in terms of u to solve it?
Quotient rule
Chain rule
Power rule
Product rule
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When the degree of the numerator and denominator are the same, what method is used to simplify the integral?
Trigonometric substitution
Partial fraction decomposition
Long division
U-substitution
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which inverse trigonometric function is used in the example where the degree of the denominator beats the numerator by 2?
Arcsecant
Arcsine
Arctangent
Arccosine
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of tangent u du?
Negative natural log of cosine u
Natural log of sine u
Arctangent of u
Sine of u
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