
Integrals and Trigonometric Identities

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Emma Peterson
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 taken to simplify the integral of x squared over x squared plus 1?
Subtract 1 from the denominator
Add 1 and -1 to the numerator
Multiply the numerator by 2
Divide the numerator by 2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it valid to add 1 and -1 to the numerator in the initial step?
It makes the integral zero
It does not change the value of the numerator
It simplifies the denominator
It changes the value of the numerator
Tags
CCSS.HSA.APR.D.6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the expression x squared plus 1 divided by itself simplified?
It becomes zero
It becomes negative one
It remains the same
It becomes one
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the negative sign in the integral of -1 over x squared plus 1?
It is multiplied by the denominator
It is added to the numerator
It is moved to the front of the integral
It is ignored
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used to simplify the integral of 1 over x squared plus 1?
x = sec(u)
x = sin(u)
x = cos(u)
x = tan(u)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of tangent used in the substitution?
sin squared u
cos squared u
sec squared u
tan squared u
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which trigonometric identity is used to replace tan squared plus 1?
tan squared = sec squared - 1
1 + cos squared = sec squared
1 + tan squared = sec squared
sin squared + cos squared = 1
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