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#13 2010 MIT Integration Bee Qualifying Exam
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2nd/3ways: trig integral ∫sec(x) dx
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integral ∫ x dx withOUT using Power rule.
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(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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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?
If y=a e^(mx) + b e^(-mx), show that y2=m^2y
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4th way: rational function integral ∫x^3/√ (1+x^2) dx
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: integral ∫x/(2ax-x^2) dx
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prob stat: 2nd/2 parts. One sample has a mean of M=6 &
2nd way: 1) ∫1/(a + √b x^2) dx vs 2) ∫1/(a + √b x^2) dx
Quickie: 6169^2 - 2331^2?
#19 2010 MIT Integration Bee Qualifying Exam
2nd Alternate trig ∫integral sin(x) dx
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3 ways: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(ax+b) dx
Just documenting Halloween 🎃
Purdue U: Evaluate ∫sec^5/2(x) tan(x) dx where x= 0 to pi/3
prob stat: For the sample shown in the freq distribution table, what is the mode?