A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.

stat: SLR Properties of residuals

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Pantun Melayu [Buah cempedak di luar pagar]

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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2nd way: sq rt integral ∫ √√e^x dx

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2nd way: derivative (x^2+1)^sin(x)

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2 ways: derivative x √√x

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2nd way: trig derivative tan(arc tan(x))

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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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2nd/2ways: Taylor series of cos(x)

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3 ways: sum Show 1+3+5+...nth term = n^2

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trig integral ∫cot(x) log(sin(x)) dx

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1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture

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1st/parts: Derivative of the inverse circular functions

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trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx

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3 ways: trig integral ∫tan(x) sec^2(x) dx

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The University of Maine: rational function integral compute

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