practice exam b

To evaluate the following integral 3 dx 1 x2 1 2 x0 7

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Unformatted text preview: is 1 − x2 · 1 − x2 x2 ” . to evaluate the following integral: 3 dx · 1 − x2 √1 2 x=0 = . 7 Line #: 23590. ID # : [V] (30pts) Name : √ 1−x = ∞ 2 m − 3 !! m=1 1− Here, for m = 1, the quantity (1) √ Know that the Taylor series expression for 1 − tx = 1− is given by 2 m !! xm . 2 m − 3 !! is understood as 1. Agree with the following: In the above, substitute √ 1−x x with t x, and obtain ∞ 2 m − 3 !! m=1 2 m !! tm x m . Agreed. (2) Agree with the following: Divide the both sides of the above by √ t √ 1−t, and obtain...
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