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derivative (f(x)/g(x))^h(x)
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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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logic Idempotent law show x=xVx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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2nd/3ways: trig integral ∫sec(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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Swinburne U 2nd way: e^(-e^x) e^x dx
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Review: Linear form, Quadratic form & Bilinear form
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heart stealing contract
2010 #2 MIT Integration Bee
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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.
2024 MIT Integration Bee Final
Screen Recording 2024-02-16 at 8.34.08 PM
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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx
#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt
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2nd way: Evaluate integral ∫x^2/√(19-x^2) dx
prob stat: The following frequency table gives the values obtained
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