Learn to evaluate using the definite integral with square root

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Mathematics
•
11th Grade - University
•
Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of u = 1 - x^2?
du/dx = 2x
du/dx = -2x
du/dx = x^2
du/dx = -x^2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do we divide by -2 in the substitution process?
To change the variable
To simplify the equation
To match the integral's form
To eliminate the x term
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the new expression for x dx after substitution?
-2 du
1/2 du
2 du
-1/2 du
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you adjust the bounds of integration after substitution?
By using the original x values
By recalculating using the u function
By adding 1 to each bound
By keeping them the same
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating u^(1/2) from the new bounds?
1/3
-1/3
-2/6
2/6
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