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Substitution in the Indenite Integral Part1. Suppose that you want to re-write an integral using a substitution, in this case, ' 1 51113 dz=fdu u
Substitution in the Indenite Integral Part1. Suppose that you want to re-write an integral using a substitution, in this case, ' 1 51113 dz=fdu u {205 E Determine the comect substitution that will accomplish this. That is, nd in as a function of an that allows you to rewrite the integral as shown above. The function 1.:(2) we want is l:] in which case the differential of 'h'. is D Note.- answer should he in the form 1.: = x) and {in = f'(z)dz Part 2. Evaluate the indenite integral above in terms of u. fim Note: answer should he in terms an; only Part 3. Back substituting in the antiderivative you found in Part 2. above we have sins: d : f case: I D Note: answer should be In terms of: only Part 4. Looking bacI-t at what we have found above we now see that ftanzdz =C] Note: answer should be In terms of: only
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