MTH 130 Lecture 27: 4.5 Substitution Rule Notes
Document Summary
Provide a generalization to each of the key terms listed in this section. When it comes to integration thanks to substitution, then the following would the format to evaluate the integral: Z f (g (x)) g (x) dx. When it comes to recalling the chain rule, then you can remember that it comes to guring out derivatives of composite functions, which are normally in the form of f (g(x)), while expressed by the following: d dx. = f (g (x)) g (x) If that is the case, then the following would be the approval: Z f (g (x)) g (x) d dx. Another method when it comes to solving integrals if to let the following occur: When it comes to the case, then the di erential of u would be the following: u(x) = g(x) du = g (x)dx. If that is the general case, then the following would be the theorem: