Find dy/dx where x^y+y^x=1

MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85

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logic Idempotent law show x=xVx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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integral ∫ x dx withOUT using Power rule.

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

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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Screen Recording 2024-02-16 at 9.19.45 PM

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2010 #2 MIT Integration Bee

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Screen Recording 2024-02-18 at 12.10.36 AM

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1997 AP Calculus BC: If x=e^(2t) & y=sin(2t), then dy/dx=

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Screen Recording 2024-02-16 at 9.10.00 PM

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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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Polite number

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Screen Recording 2024-02-16 at 8.34.08 PM

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AP Calculus: 2nd way integral logx (√√x) dx

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Show log b^n(x^m) = m/n logb(x)

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3 ways: sum Show 1+3+5+...nth term = n^2

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