MATH 120 Lecture Notes - Product Rule, Scilab

• School: Queen's University
• Department: Mathematics
• Course: MATH 120

Document Summary

Lecture 11 february 2nd, 2022 - integration by parts . We are looking at methods to try and find antiderivatives. Last class, we looked at a method which came from reversing the chain rule (substitution). Today we will look at a method we get by reversing the product rule. For differentiable functions f and g, the product rule is: (f g) = . F g (f (f g) dx = G dx = f g f g dx. F we can rewrite this as: and then we can rearrange this to get: Let us rewrite this one more time, using f for f": f g dx = f g f g dx. The antiderivative of (function one)(function two) is the same as (anti deriv. of func. one) (func. two) - (anti deriv. of func. one)(deriv. of func. two)dx lecture 111.