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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Welcome to The Only JAY in the USA!. Jay County, Indiana has something fun for the whole family. Our towns hold treasures of all kinds, from primitive antique shopping to live entertainment. We are home to the world's largest Gas Engine and Tractor Show, Fiber Festival and many more interesting attractions. Take a look around and find the many treasures and fun festivals all located in Jay County, Indiana! Tractor will leave the Fairgrounds on Tuesday,...