c Consider the following theorem If f is integrable on a b then Use this...
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Calculus
c Consider the following theorem If f is integrable on a b then Use this to evaluate the integral 5 33 y 9r 8 7 6 5 4 3 2 1 x d Interpret the integral in part c as a difference of areas O The integral represents the area below the x axis minus the area above the x axis O The integral represents the area above the x axis minus the area below the x axis Illustrate with a diagram 1 2 0 34 2 3 f x dx lim f x Ax where ax 318 i 1 5 5r 4 3 2 1 1 2 3 b a and x a iAx n 4 6 st 2 4 5 10r 9 8 7 6 5 4 3 2 0 14 1 2 3 4 5 9r 8 7 6 5 4 3 2 2
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