
Integration Techniques and Concepts
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main challenge when the derivative of the denominator is not present in the numerator of an integral?
The integral cannot be solved.
The integral requires creative techniques.
The integral is already in its simplest form.
The integral becomes a simple polynomial.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What technique is suggested to fit an integral into an arctangent form?
Partial fraction decomposition
Completing the square
Integration by parts
Substitution method
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When completing the square, what is the purpose of adding and subtracting the same number inside the parentheses?
To change the degree of the polynomial
To maintain the equality of the expression
To simplify the expression
To eliminate the variable
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of factoring a negative out when completing the square?
To simplify the expression
To eliminate the variable
To make the x squared term positive
To change the degree of the polynomial
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which integration technique is used when the integral fits nicely into an arctangent form?
Partial fraction decomposition
Integration by parts
Substitution method
Direct integration
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why are absolute value bars not needed for the integral of 1/2 Ln of 4 plus x squared?
Because 4 plus x squared is always positive
Because the integral is a special case
Because the variable x is always positive
Because the integral is already simplified
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the effect of having an 'x' instead of a '1' in the integral for arctangent?
It makes the integral unsolvable
It changes the integral to a logarithmic form
It has no effect on the integral
It simplifies the integral
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