u-substitution with manipulation
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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is u-substitution in integration?
Back
U-substitution is a method used to simplify integrals by substituting a part of the integrand with a new variable, u, making the integral easier to solve.
2.
FLASHCARD QUESTION
Front
What is the purpose of choosing u in u-substitution?
Back
Choosing u simplifies the integral, often transforming it into a basic form that can be easily integrated.
3.
FLASHCARD QUESTION
Front
Back
4.
FLASHCARD QUESTION
Front
Back
5.
FLASHCARD QUESTION
Front
What is the chain rule in calculus?
Back
The chain rule is a formula for computing the derivative of the composition of two or more functions.
6.
FLASHCARD QUESTION
Front
How do you apply the chain rule in u-substitution?
Back
When using u-substitution, the chain rule helps to relate the derivative of u back to the original variable, allowing for proper integration.
7.
FLASHCARD QUESTION
Front
Back
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