viernes, 6 de mayo de 2011

Integration by Sustitution

Lets start by understanding that this method of integration comes from the rule chain method for example,


lets integrate both sides of equation 1

we can use the substitution

working with



we make the substitution on the integral and get,

by the fundamental theorem of calcules we get

we use equation (2) and get that

Example #1

Solve the integral

We choose


we change the integral to

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