Integration by substitution can be derived from the fundamental theorem of calculus as follows. Let Æ and Ï be two functions satisfying the above hypothesis that Æ is continuous on I and Ïâ² is continuous on the closed interval [a,b] . Then the function Æ(Ï(t))Ïâ²(t) is also continuous on [a,b] . Hence the integrals.
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According to our research of Indiana and other state lists there were 3 registered sex offenders living in Hope, Indiana as of February 18, 2018. The ratio of number of residents in Hope to the number of sex offenders is 768 to 1. The number of registered sex offenders compared to the number of residents in this city is smaller than the state average.