Screen Recording 2024-05-12 at 9.04.39 PM

MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(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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2010 #2 MIT Integration Bee

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

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Review: Linear form, Quadratic form & Bilinear form

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2024 #3 MIT Integration Bee Final Lightning Round

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Screen Recording 2024-02-16 at 8.23.14 PM

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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AP Calculus: integral ∫(5√x^3 + √6x) /√x dx

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Everything can be a car

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Physics teacher recreates original phonograph

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Back to the old business, fight fake desert island survival

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4 ways: derivative x(log(x)-1)

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2024 MIT Integration Bee Final

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You think it's lazy but it's actually healthy

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logic How can we check our Boolean simplification is done correctly?

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