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Quickie: 6169^2 - 2331^2?
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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logic Idempotent law show x=xVx
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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx
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#3 2021 MIT Bee Qualifier integral (3x+4)/(x^2+4x) dx
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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=
Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx
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Screen Recording 2024-05-18 at 12.32.05 AM
#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub
prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &
trig integral ∫x^2 cos(x^3) e^sin(x^3) dx
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
2 ways: Find logarithm of 5 to the base 5 √5.
Screen Recording 2024-05-12 at 10.20.08 PM
integration bee 2018 Swinburne U integral x^2/2 ln(2/x^2) dx
#5 2020 MIT Integration Bee Quali Exam: integral 1/(x^2+(x-1)^2) dx
2 ways: derivative x √√x