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2nd part/3parts: Mean of -11,-2,7,...,70 SAME as Mean -11 & 70
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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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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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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logic Idempotent law show x=xVx
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Alternate way: trig integral ∫cos(x) dx
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prob stat: x̄=∑xk where k=1,2,3,...,n?
The University of Maine: rational function integral compute
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2nd way: derivative y=e^x sin(x) cos^3(x)
prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?
hyper trig ∫sinh^n(x) cosh^3(x) dx
UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]
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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Screen Recording 2024-05-11 at 9.05.02 PM
expon directive a^f(x)
4th/4 ways: integral ∫1/(x + √x) dx