Change of the upper limit when applying change of variable rules (Equation 6.141)

[linneaus0]

Describe the mistake
There should be a change of limits for the definite integral when applying change of variable rules in Equation 6.141.

Location
Please provide the

1. version (bottom of page): Draft (2024-01-15)
2. 6.7
3. 224
4. Equation 6.141

Proposed solution
Substitute the upper limit from U^-1(y) to y

Additional context
Add any other context about the problem here.

[chintan-solanki]

Also, the lower limit should change from a to U(a). Perhaps changing the integration variable from y to something else (to separate it from the upper limit y) and adding more explanation after eq 6.141 would be helpful especially to novice readers.