#readwise # Integration  ## Metadata - Author: [[brilliant.org]] - Full Title: Integration - URL: https://brilliant.org/wiki/integration/ ## Summary The text discusses the process of evaluating integrals, focusing on both indefinite and definite integrals. Indefinite integrals find the anti-derivative of functions, while definite integrals calculate the area under a curve. The article provides examples of evaluating specific integrals, including techniques like integration by parts. Overall, it explains the basics of integration and offers practice problems for further understanding. ## Highlights Integration is the process of evaluating integrals. It is one of the two central ideas of calculus and is the inverse of the other central idea of calculus, [differentiation](https://brilliant.org/wiki/differentiation/). Generally, we can speak of integration in two different contexts: the [indefinite integral](https://brilliant.org/wiki/antiderivative-and-indefinite-integration/), which is the anti-derivative of a given function; and the [definite integral](https://brilliant.org/wiki/definite-integrals/), which we use to calculate the area under a curve. ([View Highlight](https://read.readwise.io/read/01jfde3e3k15xfvhrrhke8ygrc)) ^sj74oi ---