
Integration of Cosine Cubed Function

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Jackson Turner
FREE Resource
Standards-aligned
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the integral of cosine cubed of X?
Performing u-substitution
Differentiation
Direct integration
Using trigonometric identities
Tags
CCSS.HSF.TF.C.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can cosine squared be expressed using the Pythagorean identity?
1 + cosine squared
1 + sine squared
1 - sine squared
sine squared - 1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made for u in the integration process?
u = cosine X
u = tangent X
u = secant X
u = sine X
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of sine X with respect to X?
negative sine X
negative cosine X
cosine X
sine X
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of 1 with respect to u?
u squared
u cubed
u
1/u
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of u squared with respect to u?
u squared
u to the fourth over 4
u cubed over 3
u squared over 2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final expression for the integral of cosine cubed of X?
cosine X minus 1/3 cosine cubed X plus C
cosine X plus 1/3 cosine cubed X plus C
sine X minus 1/3 sine cubed X plus C
sine X plus 1/3 sine cubed X plus C
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