7.1.pdf - 7.1 Integration by Parts This is the formula for the integration by parts � udv = uv − � vdu When using this formula we need to choose

7.1.pdf - 7.1 Integration by Parts This is the formula for...

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1 7.1 Integration by Parts This is the formula for the integration by parts, When using this formula, we need to choose which part of the integrand (what we are taking the integral of) is u, and which part of it is dv. When choosing u and dv, we want to find a u that will be simplified after we take its derivative, and a dv that won’t be too complex after integrating it. When deciding what to choose for u , remember L I P E T . L - logarithmic function I - inverse trig function P - polynomial function E - exponential function T - trigonometric function This is usually the preference order in which you would want to choose u. Example 1 Apply Integration by Parts, Use the formula for the Integration by Parts, Solving for the unknown integral When we have a product in which both factors never run out of integrals or derivatives, we can solve for the unknown integral by using the Integration by Parts formula repeatedly until the original integral shows up in the problem again .

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