2nd/2 ways: #12 2024 MIT Integration Bee Qualifying Exam

prob stat: 1st/2 parts. One sample has a mean of M=6 &

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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2024 MIT Integration Bee Final

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Find the power set of each of the following sets ...

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Simplify the following statements using only the connectives ∧, ∨ and ¬

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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Screen Recording 2024-02-02 at 1.54.05 AM

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Given events J & K:

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.

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Evaluate these 9 integrals containing ...

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4 ways: trig integral ∫tan(x) dx

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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

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prob stat: The prob. that it will snow tomorrow is 0.75.

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AP Calculus 2nd way: trig integral ∫dx/(4-3cos^2(x)+5sin^2(x)) dx

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UC Davis #8: integral cos(5x)/(3+sin(5x)) dx

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integral (a-x)/(b-x) dx

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2nd way: derivative y^2=4a(x+a sin(x/a))

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