#### Ankit006

##### New member
This is one of the double integral math examples in my textbook. I don't understand this step. How we can move dy like this. isn't integral 0 to 1 for dx. (Sorry for my bad english)

#### blamocur

##### Senior Member
I'd assume that [imath]x[/imath] is integrated from 0 to [imath]y^2[/imath]

#### Dr.Peterson

##### Elite Member
This is one of the double integral math examples in my textbook. I don't understand this step. How we can move dy like this. isn't integral 0 to 1 for dx. (Sorry for my bad english)
View attachment 33595
I would say that the first integral is written incorrectly, as the order of dydx implies that the inner integral is with respect to y, which would make no sense. But possibly your book uses a different convention.

Can you show us the context? What is said before this may be important for clarification.

#### Ankit006

##### New member
I would say that the first integral is written incorrectly, as the order of dydx implies that the inner integral is with respect to y, which would make no sense. But possibly your book uses a different convention.

Can you show us the context? What is said before this may be important for clarification.

#### Dr.Peterson

##### Elite Member
It looks like we need more context! What has been said before this example? How have they defined the notation? What book is this from?

#### Ankit006

##### New member
It looks like we need more context! What has been said before this example? How have they defined the notation? What book is this from?
This problem is from a math pdf file my college give me. This problem is from the multivariable calculus chapter and the section is double and triple integral.

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#### Dr.Peterson

##### Elite Member
This problem is from a math pdf file my college give me. This problem is from the multivariable calculus chapter and the section is double and triple integral.
This just shows that they are introducing the idea of dA = dxdy = dydx, but not how the order relates to the limits of integration. Presumably that is shown somewhere between the two things you've shown.