Screen Recording 2024-05-18 at 10.18.13 PM

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

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2nd way: derivative x^n w.r.t x^x

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Difference of 2 nonconsecutive triangular numbers

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matrix product: AB=0 where A≠0 & B≠0

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

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exp integral e^x (f(x) + f'(x)) dx

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UT Austin: ∫x (1-x^2)^1/4 dx

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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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UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)

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2nd/2parts stat: SLR Regression lline always goes through the point (x̄, ȳ)

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2 ways: integral x√(x-5) dx

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integral ∫√(x-a)/x dx

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trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx

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MIT Integration Bee Quali Exam 2023 #13 ∫(x+e+1)x^e e^x dx

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2 ways: exp integral ∫(p^x + q^x)/r^x dx

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logic: Simplify the Boolean function F=AB+(AC)'+AB'C(AB+C)

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Quickie: In music, there is circle of 5ths ... In calculus, there is circle ...

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#13 2010 MIT Integration Bee Qualifying Exam

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9Screen Recording 2023-12-07 at 1.54.08 AM

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trig integral sin(tan(x)) cos(tan(x)) sec^2(x) dx [chain rule in reverse]

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