What is U-Substitution in calculus?
U-Substitution

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Mathematics
•
11th Grade - University
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
U-Substitution is a method used to simplify the integration process by substituting a part of the integral with a new variable 'u', making it easier to solve.
2.
FLASHCARD QUESTION
Front
What is the purpose of choosing 'u' in U-Substitution?
Back
The purpose of choosing 'u' is to simplify the integral into a more manageable form, often by selecting a function whose derivative is also present in the integral.
3.
FLASHCARD QUESTION
Front
What does 'du' represent in U-Substitution?
Back
'du' represents the differential of 'u', which is the derivative of 'u' with respect to 'x' multiplied by 'dx'.
4.
FLASHCARD QUESTION
Front
How do you find 'du' when using U-Substitution?
Back
To find 'du', differentiate 'u' with respect to 'x' and multiply by 'dx': du = (du/dx)dx.
5.
FLASHCARD QUESTION
Front
What is the first step in applying U-Substitution?
Back
The first step is to identify a suitable substitution for 'u' that simplifies the integral.
6.
FLASHCARD QUESTION
Front
When should you revert back to the original variable after integration?
Back
You should revert back to the original variable after performing the integration and before finalizing the answer.
7.
FLASHCARD QUESTION
Front
What is an example of a function suitable for U-Substitution?
Back
An example is the integral of sin(x)cos(x)dx, where you can let u = sin(x).
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