integration by parts
mathematics
Quick Summary
Integration by parts is a mathematical method used to find the integral of a product of two functions. It is derived from the product rule for differentiation. The formula for integration by parts is:
[ \int u \, dv = uv - \int v \, du ]
This technique allows you to transform a difficult integral into a simpler one by choosing appropriate functions for u and dv. It is a fundamental tool in integral calculus, which deals with finding functions whose rates of change are known and calculating quantities like areas and volumes.123
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