2nd way: derivative x^n w.r.t x^x

2nd way: derivative (x^x)^x

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"baby" fact: exp even odd e^x

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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2nd way: integral ∫ log √x(x^n) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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Always ZERO

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Pure Math: Calculate the coordinates of the two points on the curve

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examples: 2x2 matrix which is its own inverse

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Iowa State U [Fall 2019]: integral Find the integral

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alternate way: count sum 1+2+3+ ... +n

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logic: tautology p→q≡(¬q→¬p)

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Conversion: Permutation - Combination vice versa

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2 ways: ¬p→q ≡ p∨q

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UT Austin: trig integral ∫(1-cos^2(x/2))^2 sin(x/2) dx

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Lamar U: trig integral ∫sin(13z) sin(4z) dz

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

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The University of Maine: rational function integral compute

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logic: Show p→q ≡¬ p∨q

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