#11 2019 MIT Integration Bee Final

AP Calculus 2nd way: trig integral ∫sin^2(x) cos^2(x) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Pantun Melayu [Buah cempedak di luar pagar]

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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When Wang Bian danced, the number of people in the live broadcast room soared from 5,000 to 20,000.

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

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

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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.

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Screen Recording 2024-02-22 at 10.13.28 PM

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2nd way: integral ∫1/(6x^2+7x+2) dx

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2nd way: Express as partial fractions

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2nd/2ways: Taylor series of sin(x)

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The water dance "Searching for Light" searches for abducted children, hoping that the light of hope

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exp integral ∫a^(√√x^3)/√√x dx

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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Review: trig sin(x)= cos(90-x) = cos(x-90) prefer

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Robots are so cute and funny these days!

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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))

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