One common place in economics, where integration by parts is used is calculating the expected utility for general probability density functions. One such specific area in microeconomics is uncertainty, where stochastic dominance is important. There you want to calculate int(u(x)*f(x))dx for very general utility functions and pdfs. Given these are usually quite general cases, specific commonly used economic models with explicit functional forms using integration by parts are more scarce.
maybe U can show some economics theory ex. by using the integration by part?
One common place in economics, where integration by parts is used is calculating the expected utility for general probability density functions. One such specific area in microeconomics is uncertainty, where stochastic dominance is important. There you want to calculate int(u(x)*f(x))dx for very general utility functions and pdfs. Given these are usually quite general cases, specific commonly used economic models with explicit functional forms using integration by parts are more scarce.
thx bro! Expect your next "math in economics" video