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The substitution in this case would be u 2 cos 1 x d u sin 1 x d x sin 1 x d x d u u 2 cos 1 x d u sin 1 x d x sin 1 x d x d u. E u C e x 2 2x3 C. What Is The Substitution Method Just 3 Simple Steps Using u-substitution makes it easier to read and simplify composite functions which can otherwise start to look messy and intimidating. . Solve one of the equations for either x or y. Letting be or will never work. That is if you have f g x g x d x use a u-sub. Then must be defined as. It explains how to integrate using u-substitution. Here is another illustraion of u-substitution. This method is also called u-substitutionThe idea behind doing u-substitution is to rewrite the integral into a form that easily fits with the known rules of integrals. Substitute plug-in this expression into the other equation and solve. Of course it is the same answer that we got before using the chain rule backwards. ...