2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)

Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(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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Pantun Melayu [Sorong papan tarik papan]

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Always ZERO

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slope-intercept formula y=mx+c where m is slope & c is y-intercept

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Review: Product to Sum Identities

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2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

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1st/2ways: logic Import-Export

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2nd part/3parts: Mean of -11,-2,7,...,70 SAME as Mean -11 & 70

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2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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logic: Show p→q ≡¬ p∨q

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rational function integral x/(x-√(x^2-1)) dx

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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UC Davis#4 4 ways: integrate 7^(2x+3) dx

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trig Show cos(4x) = 8 cos^4(x) -cos^2(x)+1

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2nd way: trig integral ∫1/(1+sec(x)) dx

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