Integration By Parts - Integrating Exponential Function - Linear And Logarithm Functions

Integration By Parts - Integrating Exponential Function - Linear And Logarithm Functions Integration by Parts Explained – Solving ∫xe^x dx and ∫lnx dx Step-by-Step In this video, we take a deep dive into integration by parts, a fundamental technique in calculus for evaluating complex integrals. We will break down the integration by parts formula, explain its logic, and apply it to two classic examples: - ∫ x e^x dx – Learn how to integrate the product of an exponential function and a linear function step-by-step. - ∫ ln x dx – Master the technique for integrating logarithmic functions using integration by parts. What you’ll learn: - The integration by parts formula and how to choose u and dv effectively. - How to recognize when integration by parts is the best method to use. - Step-by-step solutions with clear explanations to help you understand and apply this technique in calculus problems. By the end of this lesson, you’ll have a strong grasp of integration by parts and be able to solve similar integrals with confidence. Subscribe for more calculus tutorials.