Integral de x·e^(x/3) dx | Integración por Partes Paso a Paso (Método Fácil)

Don't know how to solve integrals by parts? In this video, you'll learn how to solve the integral of x e^(x/3) dx step by step using the integration by parts method. We'll start by correctly identifying the functions u and dv using the ILATE rule, find du and v, apply the integration by parts formula, and simplify the result until we get the final answer. We'll also look at a second, faster method using the table of derivatives and repeated integrals, ideal for when you have an algebraic function like x multiplying an exponential function. This exercise is perfect if you're studying integral calculus in high school or college, or if you need to solve an integrals homework assignment from your teacher. In this video you will learn: ✅ How to choose u and dv in an integral by parts ✅ How to integrate exponential functions like e^(x/3) ✅ How to apply the integration by parts formula ✅ A faster alternative method to check your result ✅ Common mistakes when solving this type of integral If you are learning integral calculus and want to master the exercises that appear on exams and assignments, this video will help you understand the procedure from scratch. 👇 Did you find this video helpful? Leave a like 👍, subscribe to the channel, and turn on notifications 🔔 so you don't miss any more tutorials on calculus, derivatives, and integrals. Let me know in the comments what other integral you would like me to solve. 📢 More calculus resources: ➡️ [ • INTEGRALS Complete Course Super Easy ] ➡️ [   • Integración por Partes | Cálculo Integral ...  ] #Integrals #IntegrationByParts #IntegralCalculus