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I've termed this section as Intervals of Validity since all of the illustrations will involve them. Though, there is many more to this section. We will notice a couple of theorems

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Definite integral, from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 ...

from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS)        = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let

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