Формула Валлиса

Today, we'll look at a formula that allows us to calculate pi as the limit of a rational sequence. This is Wallis's formula. It was the first formula of its kind in history. There are now faster methods, but we'll focus specifically on Wallis's formula and prove it using definite integrals. This will give us a practical application of certain types of definite integrals. We'll need to recall the formula for integration by parts, as well as how it's used to integrate trigonometric differentials. You can easily find all of this information on the channel using the clickable integral sheet, which is stored here: https://drive.google.com/drive/folder... There you'll also find many analyzed examples of indefinite integrals from Demidovich. In the lecture, I referenced the section on finding the derivative of a complex function. This lecture can be found at    • Производная сложной функции | Примеры из ...   The explanation is based on an analysis of specific problems from Demidovich. Read by Igor Tinyakov #wallisformula #elementarymathematics #mathematicalanalysis #applicationofintegrals