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It was suggested in class to define the integral from -co to co of a function f by lim f(x)dx. Let's t-+ 00 t try

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It was suggested in class to define the integral from -co to co of a function f by lim f(x)dx. Let's t-+ 00 t try this out. .OO (a) Compute lim x dx. Compare with our usual definition of xdx. t -+ 00 -t - OO (b) Compute lim x + 1 dx. t -+ 00 (c) What do you think of this definition? (There are no wrong answers)

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