What does it mean when we integrate with respect to y first in a double integral?

Understanding Double Integrals and Order of Integration

Interactive Video
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Mathematics
•
11th Grade - University
•
Hard

Aiden Montgomery
FREE Resource
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5 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x is greater than or equal to y
x is less than or equal to y
y is greater than or equal to x
y is less than or equal to x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which line represents the condition y is less than or equal to 1?
y = 1
y = 0
y = x
x = 1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the new upper limit of integration for x when switching the order of integration?
x = y + 1
x = 1
x = y
x = 0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the integration process, what substitution is used for u?
u = y + 1
u = x^2
u = 1 + y^3
u = y^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final simplified result of the integration process?
1/2 (2√2 - 1)
1/3 (2√2 - 1)
1/6 (2√2 - 1)
1/9 (2√2 - 1)
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