#9 MIT 2022 Integration Bee Qualifying Exam

logic: De Morgan's Law

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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2nd way: integral ∫ log √x(x^n) dx

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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logic: tautology p→q≡(¬q→¬p)

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4th/4parts: Maclaurin Series [ahp kia]

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trig derivative differentiate x^x - 2^sin(x)

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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Review Add Math: 1.2/parts: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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integral ∫√(x-a)/x dx

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slope-intercept formula y=mx+c where m is slope & c is y-intercept

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expon directive a^f(x)

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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1st/2ways: Taylor series of sin(x)

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2nd way: trig integral ∫sin^6(ax+b) cos^6(ax+b) dx

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3rd/10parts: Exclusive disjunction

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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2024 MIT Integration Bee Final

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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