2nd/2 ways: MIT Integration Bee Final

The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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logic Idempotent law show x=xVx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Review: Linear form, Quadratic form & Bilinear form

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

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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integral ∫ x dx withOUT using Power rule.

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2 ways: ∫1/(x^2+2x-3) dx

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Careful: arc sin(sin(5π/4)) ≠ ...

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prob stat One of the longest words in std. statistics terminology is "HOMOSCEDASTICITY".

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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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Differentiate x/sin(x) w.r.t. sin(x)

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এই আমাদের দেশ🙃

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Master Yinle, at sixty years old, still has clear and bright eyes and a serene expression. "Shi Yinl

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O Segredo dos Extremos Climáticos: Como a Sombra de Chuva Molda o Clima

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Alternate way: inverse trig integral ∫e^(m arc tan(x))/(1+x^2) dx

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1st/3parts: Mean of 1,2,3,...,n SAME as Mean 1,n

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3 ways: derivative e^y=x

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Properties of Determinants [examples with 2x2 matrix]

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The process of the auspicious cloud patterns changing at the time of Master Mengsen’s passing.

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