"Boundaries Change With U-Sub" refers to a concept in calculus where the boundaries of integration change when using the u-substitution method to solve a definite integral.
Boundaries change with u-substitution because the substitution of variables in an integral can result in different limits of integration, depending on the chosen substitution.
You can use u-substitution when you have an integral with a function inside that is the derivative of another function, and when the boundaries of integration are in terms of that same function.
To change boundaries with u-substitution, you first need to find the derivative of the function inside the integral. Then, solve for u and plug it into the original integral. Next, change the boundaries of integration using the new variable u. Finally, integrate the new integral with respect to u and replace u with the original variable.
Yes, boundaries can also change with u-substitution for indefinite integrals. However, in this case, you do not need to adjust the boundaries as the constant of integration will account for any changes in the boundaries.