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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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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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2nd way: integral ∫ log √x(x^n) 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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
AP Calculus 2nd way trig integral ∫x^2 cos(x) dx
#10 2023 MIT Integration Bee Qualifying Exam
#9 2023 MIT Integration Bee Qualifying Exam
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Compute the arithmetic mean for the following grouped data ...
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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?
1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
2 ways: exp log integral ∫3^(log81(x)) dx
#19 2010 MIT Integration Bee Qualifying Exam
AP Calculus 4th way: exp ∫1/(1+e^x) dx via 3rd u-sub
example: Mean, Median & Mode
一分钟科普!2024龙年欧洲杯预言「入口:3977·EE」
integral ∫(8x+12) (x^2+3x+1)^4 dx vs integral ∫(8x+12)/(x^2+3x+1)^4