6.3 Integration By Parts. I. Evaluate the following indefinite integral Any easier than the...

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6.3 Integration By Parts I. Evaluate the following indefinite integral Any easier than the original??? The choice of u and dv are very important!!!! The idea is to let dv be the easier function to integrate, as well as letting u be the function that produces a simpler derivative. The Integration by Parts formula is a product rule for integration. u differentiates to zero (usually). dv is easy to integrate. Choose u in this order: LIPET Logs, Inverse trig, Polynomial, Exponential, Trig EX. 2 - EX. 3 - II. Tabular Integration - Tic Tac Toe! EX. 1 - By Tables EX. 2 - TABLES ONLY WORK FOR REPEATED INTEGRATION BY PARTS WHEN ONE OF THE FUNCTIONS DERIVATIVES EVENTAULLY EQUALS 0!!!!!!!!! For example EX. 3 - III. Repeated Integration by Parts