CK12 Calculus - Single Variable

(Marvins-Underground-K-12) #1

We take the differentialof and the simplestantiderivativeof :


Substitutingbackinto the formula,


We havemadethe right choicebecause,as you can see, the new integral is definitely
simplerthan our originalintegral.Integrating,we finallyobtainour solution


Example3:


Evaluate.
Solution:


Here,we only haveone term, We can alwaysassumethat this term is multipliedby :


So let and Thus and Substituting,

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