

Integrating and Differentiating Secant Functions
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Ethan Morris
FREE Resource
Standards-aligned
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in integrating secant X DX?
Use partial fraction decomposition
Write it over 1
Apply integration by parts
Multiply by secant X minus tangent X
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do we multiply the fraction by secant X plus tangent X?
It simplifies the expression
It helps in applying the chain rule
It is a standard integration technique
It just works out that way
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made to simplify the integration?
u = secant X + tangent X
u = tangent X
u = secant X - tangent X
u = secant X
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of secant X?
Cosine X
Secant squared X
Tangent X
Secant X times tangent X
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of tangent X?
Tangent squared X
Cosine squared X
Secant squared X
Secant X
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral of 1 over u with respect to u?
u plus C
1 over u plus C
Natural log of u plus C
u squared over 2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final result of integrating secant X DX?
Secant squared X plus C
Tangent X plus C
Natural log of secant X plus tangent X plus C
Secant X plus tangent X plus C
Tags
CCSS.HSF.TF.B.7
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