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Derivative d(x^(arc sin(x))/d(arc sin(x))
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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2 ways: sq root derivative 1/(√√(1/√x))
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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Taller 3b fundamentos de administracion
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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2 ways: derivative x √√x
Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub
Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx
Screen Recording 2024-03-03 at 12.00.11 AM
2010 Raytheon MATHCOUNTS National Competition
2nd way: ∫1/(√(1-x^2)(1+arc sin(x))^2) dx
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2nd/2ways: Taylor series of cos(x)
2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term
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2 ways: trig integral ∫cos^3(x) sin^2(x) dx
sum: Find a close formula for 2,3,14,24,37,...
2 ways: exp integral p^(qx+r) dx
2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))
trig Show 1/(1-sin(x)) + 1/(1+sin(x)) = 2 sec^2(x)
1st/3 parts: Growing patterns