CK12 Calculus - Single Variable

(Marvins-Underground-K-12) #1

Noticethat the unknownintegralnow appearson both sidesof the equation.We can simplymovethe unknown
integralon the right to the left side of the equation,thus addingit to our originalintegral:


Dividingboth sidesby we obtain


Sincethe constantof integrationis just a “dummy”constant,let
Finally, our solutionis


ReviewQuestions
Evaluatethe followingintegrals.(Remark:Integrationby partsis not necessarilya requirementto solvethe
integrals.In some,you may needto use -substitutionalongwith integrationby parts.)





















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