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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Evaluate these 7 integrals ...
2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx
2 ways: integral ∫(a^2-x^2) dx
#9 2010 MIT Integration Bee Qualifying Exam
#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt
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exp Evaluate these 4 integrals containing e^x ...
2nd way: exp integral ∫e^(1/x)/x^2 dx
10 years of pro tips: bending steel wires, adjusting satellite axes, lubricating axles—easy to learn
Lamar U Calculus: #14 integral ∫ [9sin^5(3x)-2cos^3(3x)] csc^4(3x) dx
UC Davis: differentiate y=(3x+1)^2
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Which of the following data sets has a median of 3?
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2nd/2 ways: #12 2024 MIT Integration Bee Qualifying Exam
2nd way: log sq rt integral ∫ln(x+1)/√(x+1) dx
2nd way: trig integral (3-tan^2(x))/(cot(x)-3tan(x)) dx
2nd way: trig integral ∫sec^(3/2)(x) tan^3(x) dx
2nd way: integral ∫ 1/(1+x+x^2) dx