Screen Recording 2024-02-21 at 11.53.14 PM

Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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Screen Recording 2024-05-13 at 9.18.43 PM

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#6 2024 MIT Integration Bee Qualifying Exam

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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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2nd way: trig integral ∫1/(1+sin^2(x))cos^2(x))

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Screen Recording 2024-05-10 at 6.17.33 PM

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#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam

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MIT Integration Bee Qual. Exam #9: integral (2logx+1)e^(log(x))^2 dx

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#20 2022 MIT Integration Bee Qualifying Exam

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#shorts #short #PBFCOM #song #hot #love #funny

PBFcom

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picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

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2 ways: ∫1/(x^2+2x-3) dx

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2nd/3ways: exp Derivative x^x

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2nd way: sq rt integral ∫ √√e^x dx

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