
Using Substitution in Integrals

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Thomas White
FREE Resource
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of this video tutorial?
Differentiating complex functions
Using substitution to evaluate definite integrals
Graphing functions
Solving algebraic equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does substitution affect the bounds of integration?
It removes the bounds entirely
It doubles the bounds
It keeps them the same
It changes them to be in terms of the new variable
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be done to the integrand when using substitution?
Leave it unchanged
Divide it by the original variable
Change it to be in terms of the new variable
Multiply it by the derivative of the new variable
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it beneficial to change the bounds to be in terms of u?
It simplifies the process and avoids extra steps
It makes the integral more complex
It changes the integral to an indefinite one
It allows for easier differentiation
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What property of exponents is used in the evaluation process?
Exponents must be doubled
Exponents can be ignored
Negative exponents can be moved to the numerator
Exponents are irrelevant in integration
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final result of the integral evaluation?
5/9
3/8
1/2
9/40
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main advantage of using substitution for definite integrals?
It reduces the number of steps needed
It changes the integral to an indefinite one
It requires more substitutions
It increases the complexity
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