
Integration Techniques and Trigonometric Functions

Interactive Video
•
Mathematics
•
11th Grade - University
•
Hard
Standards-aligned

Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is u-substitution not suitable for the given integral?
Because there is no factor of x in the numerator
Because the integrand is a polynomial
Because the limits of integration are not defined
Because the integrand is already simplified
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main reason the initial integration formula does not work?
The formula requires a different constant
The formula is for definite integrals only
The formula requires the square root of nine minus x squared
The formula is not applicable to trigonometric functions
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is made to simplify the integral?
x = 3 tangent theta
x = 3 secant theta
x = 3 cos theta
x = 3 sin theta
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is dx expressed after substitution?
3 tangent theta d theta
3 cos theta d theta
3 secant theta tangent theta d theta
3 sin theta d theta
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the new limits of integration after substitution?
0 to inverse secant of 5/3
0 to 1
0 to pi
0 to pi/2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the integral function?
Sine theta
Cosine theta
Secant theta
Tangent theta
Tags
CCSS.HSG.SRT.C.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of the simplified integral function?
Natural log of secant theta plus tangent theta
Natural log of tangent theta
Natural log of cosine theta
Natural log of secant theta
Tags
CCSS.HSF.TF.B.7
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