Funny math problem to calculate the Pin Number for a credit card.

08132021, 05:26 PM
Post: #12




RE: Funny math problem to calculate the Pin Number for a credit card.
(08122021 03:05 PM)Albert Chan Wrote: I = ∫((3y^3 + 25y^2 + 77y + 55) / √(y^21), y=3 .. 1) / 8 Another way, by regroup terms. (odd and even powers of y) diff(y*√(y^21), y) = (2*y^21) / √(y^21)) I = ∫((3/8*(y^21)+10)*y/√(y^21), y=3 .. 1) + ∫((25/16*(2*y^21)+135/16)/√(y^21), y=3 .. 1) For first term, let z = y^21, dz = 2y dy: ∫((3/8*(y^21)+10)*y/√(y^21), y) = ∫(3/16*√z+5/√z, z) = 1/8*z^(3/2) + 10*√z I = preval((z/8+10)*√z,8,0,z) + preval(25/16*(y*√(y^21)) + 135/16*(ln(abs(y+√(y^21)))),3,1,y) = 22*√(2) + (150*√(2)+135*ln(2*√(2)+3))/16 = 101/8*√(2) + 135/16*ln(2*√(2)+3) 

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