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derivative y=f(logb(arc tan(px+q))
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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lim x/e^x? as x→∞
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.
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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?
#16 2011 MIT Integration Bee Qualifying Exam
example: Mean, Median & Mode
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#17 2012 MIT Integration Bee Qualifying Exam
#17 2011 MIT Integration Bee Qualifying Exam
2nd way: integral ∫(a+ln(sin(x))/tan(x) dx
#13 2011 MIT Integration Bee Qualifying Exam
Screen Recording 2024-05-10 at 5.37.05 PM
2nd way: log sqr integral ∫ln(x)/x dx
#14 2020 MIT Integration Bee Quali Exam: integral sin(x+sin(x))-sin(x-sin(x)) dx
#2 2023 MIT Integration Bee Qualifying Exam
#14 2011 MIT Integration Bee Qualifying Exam
2nd way: sqrt trig integral ∫1/(√x cos^2(√x)) dx