- #1
Hiero
- 322
- 68
In transforming an integral to new coordinates, we multiply the “volume” element by the absolute value of the Jacobian determinant.
But in the one dimensional case (where “change of variables” is just “substitution”) we do not take the absolute value of the derivative, we just take the derivative, be it positive or negative.
Why is the single-variable method different from the multi-variable method (in that it lacks the absolute value)?
But in the one dimensional case (where “change of variables” is just “substitution”) we do not take the absolute value of the derivative, we just take the derivative, be it positive or negative.
Why is the single-variable method different from the multi-variable method (in that it lacks the absolute value)?