#8 2021 MIT Integration Bee Qualifying Exam

1) integral ∫x/(1+x) dx vs 2) integral ∫sin(x) cos(x)/(1+ sin(x)) dx

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logic Idempotent law show x=xVx

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

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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sum picture proof show 1^2+2^2+3^2+...+n^n=1/3 1/2n(1+n) (2n+1)

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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.

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prob stat: If the mean, median & mode are ALL computed for a distribution of scores,

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prob stat: A population of N=10 scores has a mean of 30.

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Screen Recording 2024-02-16 at 9.10.00 PM

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1st/2parts: Linear interpolation (2 given points)

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sec^2(x)/sin(2x) dx

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Find the number of digits in mole [6.02x10^23]

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If P and Q are statements, then write the negation of P Q using only the connectives ∧ and ¬

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#3 2021 MIT Bee Qualifier integral (3x+4)/(x^2+4x) dx

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sq root integral ∫1/√...√√x dx with n √

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Suppose your midterm test score is 83 & your final exam score is 95.

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2 ways: Derivative √ (1+√ (1+√ x)))

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derivative log f(g(x)) (a)

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1st/3ways: trig integral ∫sec(x) dx

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exp integral ∫ (e^2x -1) /(e^2x +1)dx

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