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Integration Practice-
Problem- Find an anti-derivative of the following functions:
(1) x ln x
(2) x2 ln x
(3) sin 2x/sin x
(4) 1/√(a2-x2)
(5) x2ex
(6) excos x
(7) x cos x
(8) 1/x2-1
(9) 1/x2+1
(10) 1/x3+1
(11) 1/x4+1
(12)x/√(1+2x)
(13) 1/(1+√x)4
Fred invests $3000 more in an account that pays 4% simple interest than he invests in an account that pays 3% simple interest. If the total interest earned for the first year is $610, how much did Fred invest in each account?
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What are the Present and Future values?
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Consider the parallelepiped ABCDA1B1C1D1. Given the coordinates of four vertices A(2,-2,1), B(3,-1,2), D(3,-1,1), A1 (4,-3,4), find The volume of the parallelepiped and The distance from A1 to the plane ABC.
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