Topic | Integration By Parts

Topic | Integration By Parts
Integration by parts is a technique used in calculus to find the integral of a product of two functions. The formula for integration by parts is ∫u dv = uv - ∫v du, where u and v are functions of x. This method is particularly useful when faced with integrals that are difficult to solve using other techniques. To apply integration by parts, one typically chooses u and dv such that differentiating u and integrating dv simplifies the integral. By repeatedly applying the formula, one can often reduce the complexity of the integral and eventually find a solution. Integration by parts is based on the product rule for differentiation and can be thought of as the reverse process. It is a fundamental tool in calculus and is commonly used in various branches of mathematics and science.
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