
Indefinite Integral of Sine Function

Interactive Video
•
Mathematics
•
11th Grade - University
•
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 when dealing with an odd exponent in trigonometric integrals?
Separate one of the trigonometric functions
Apply integration by parts
Use the Double Angle Identity
Directly integrate the function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which identity is used to handle even exponents in trigonometric integrals?
Sum-to-Product Identity
Half Angle Identity
Double Angle Identity
Pythagorean Identity
Tags
CCSS.HSF.TF.C.9
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the Double Angle Identity for sine squared of x?
1/2 times (1 + cosine of 2x)
1/2 times (1 - cosine of 2x)
1 - sine squared of x
cosine squared of x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After applying the Double Angle Identity for sine, what is the next step in transforming the integral?
Directly integrate the expression
Use integration by parts
Square the expression
Apply the Pythagorean Identity
Tags
CCSS.HSF.TF.C.9
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the Double Angle Identity for cosine squared of 2x?
1/2 times (1 + cosine of 4x)
1/2 times (1 - cosine of 4x)
1 - cosine squared of 2x
sine squared of 2x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the integral simplified after applying the Double Angle Identity for cosine?
By using the Pythagorean Identity
By distributing the constants
By applying integration by parts
By directly integrating the expression
Tags
CCSS.HSF.TF.C.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of rewriting 1/2 as four over eight in the integration process?
To use integration by parts
To prepare for u-substitution
To apply the Pythagorean Identity
To simplify the expression
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