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2024 MIT Integration Bee Final
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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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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Pantun Melayu [Sorong papan tarik papan]
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2 ways: integral ∫(a^2-x^2) dx
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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.
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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx
Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) dx
2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS
Columbia U: 8th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
Columbia U: 10th/10 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
Screen Recording 2024-05-12 at 8.34.35 PM
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1st/2 ways: MIT Integration Bee
2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1
2nd way: integral ∫(a+ln(sin(x))/tan(x) dx
2nd way: derivative y^2=4a(x+a sin(x/a))
P. D. James - ''The Private Patient'' (with Adam Dalgliesh) - Part 1 - Read by Michael Jayston