Substitution in the Indefinite Integral Part 1. Suppose that you want to re-write an integral using a substitution, in t

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Substitution In The Indefinite Integral Part 1 Suppose That You Want To Re Write An Integral Using A Substitution In T 1 (33.93 KiB) Viewed 33 times

Substitution in the Indefinite Integral Part 1. Suppose that you want to re-write an integral using a substitution, in this case, finc Incos 2) tan z dx = - Ludu Determine the correct substitution that will accomplish this. That is, find u as a function of u that allows you to re-write the integral as shown above. The function u(2) we want is in which case the differential of u is Note: answer should be in the form u = f(x) and du = f'(x)d. Part 2. Evaluate the indefinite integral above in terms of u. du = Note: answer should be in terms of u only Part 3 Back substituting in the antiderivative you found in Part 2. above we have Sinc Incos r) tan x dr = Note: answer should be in terms of r only