#14 2011 MIT Integration Bee Qualifying Exam

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If sec(x+y)=xy then find dy/dx

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If sec(x+y)=xy then find dy/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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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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logic Idempotent law show x=xVx

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Pantun Melayu [Buah cempedak di luar pagar]

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Pantun Melayu [Buah cempedak di luar pagar]

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Pantun Melayu [Sorong papan tarik papan]

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Pantun Melayu [Sorong papan tarik papan]

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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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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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2nd/3ways: trig integral ∫sec(x) dx

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2nd/3ways: trig integral ∫sec(x) dx

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integral ∫(2-x)/(1-x) dx

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integral ∫(2-x)/(1-x) dx

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2 ways: Evaluate lim sin(x)/tan(x) where x tends to 0.

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2 ways: Evaluate lim sin(x)/tan(x) where x tends to 0.

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trig integral ∫x sec^5(x^2) tan(x^2) dx

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trig integral ∫x sec^5(x^2) tan(x^2) dx

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2nd way: trig integral 1/(cot(x)-tan(x)) dx

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2nd way: trig integral 1/(cot(x)-tan(x)) dx

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Evaluate lim (e^x -1)/x^2 where x tends to 0

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Evaluate lim (e^x -1)/x^2 where x tends to 0

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2 ways: derivative √(x+1) √(x-1)

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2 ways: derivative √(x+1) √(x-1)

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2 ways: ∫ (1-x)/√(1-x^2) dx

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2 ways: ∫ (1-x)/√(1-x^2) dx

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trig integral ∫sin(2x) cos(2x) / (9-cos^4(2x)) dx

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trig integral ∫sin(2x) cos(2x) / (9-cos^4(2x)) dx

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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

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Funny love english conversation

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Funny love english conversation

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2nd way: derivative (a-bx)^(px-q)

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2nd way: derivative (a-bx)^(px-q)

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UC Davis #12: exp integrate ∫(27e^(9x) + e^(12x))^(1/3) dx

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UC Davis #12: exp integrate ∫(27e^(9x) + e^(12x))^(1/3) dx

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exp integral ∫1/(e^(ax+b) (1+e^(ax+b)) dx

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exp integral ∫1/(e^(ax+b) (1+e^(ax+b)) dx

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