Integrating Trigonometric Functions
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Ethan Morris
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 integrating the function tangent x?
Apply the power rule
Use integration by parts
Convert tangent to sine and cosine
Differentiate the function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the u-substitution method for integrating tangent x, what is u set to?
Secant x
Sine x
Cosine x
Tangent x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of 1/u?
e^u + C
1/u + C
ln u + C
u^2/2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which logarithmic property is used to simplify the integral of tangent x?
Change of base formula
Product rule
Quotient rule
Power rule
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of tangent x in terms of secant?
ln(cotangent x) + C
ln(cosine x) + C
ln(secant x) + C
ln(sine x) + C
Tags
CCSS.HSF.TF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which function is the reciprocal of cosine?
Sine
Tangent
Secant
Cotangent
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in integrating cotangent x?
Differentiate the function
Use integration by parts
Apply the power rule
Convert cotangent to sine and cosine
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