AP Calculus 2nd way: 1/(x^2 +2x+2) dx

Bijection of elements in tn & a pair of elements of (n+1)

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logic Idempotent law show x=xVx

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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Find the expected value & the variance of a geometric r.v. X

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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1st/3ways: exp Derivative x^x

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When the Mandate of Heaven Still Wanted to Be an Internet Celebrity! — The Mandate of Heaven Series,

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expon directive a^f(x)

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1st/2 ways[Direct]: Prove that the sum of 2 ODD numbers is ALWAYS EVEN

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log derivative ln(x) via chain rule

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Quickie: 6169^2 - 2331^2?

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4th way: rational function integral ∫x^3/√ (1+x^2) dx

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2nd/3part: Maclaurin Series [ahp kia]

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4th/4ways: trig derivative sin(x)

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Be very careful with leverage!

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AP Calculus: 2nd way integral logx (√√x) dx

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integral ∫√(x-a)/x dx

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Don’t always say that ordinary people hate the rich.

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2nd/3ways: exp Derivative x^x

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