2nd way: If y=(ax-b)/(a-bx), prove that 2y1y3=3(y2)^2

3rd/3 ways: trig integral ∫ sin(ax+b) dx

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Review: Linear form, Quadratic form & Bilinear form

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integral ∫ x dx withOUT using Power rule.

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trig Write each expression as an equivalent algebraic expression involving only x.

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STPM Math T Sem.2:

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"baby" fact: exp e^(ix)

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Conversion: Permutation - Combination vice versa

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Alternate way: trig integral ∫sin(x) dx

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"baby" fact: exp even odd e^x

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3rd/3ways: exp Derivative x^x

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3rd/3ways: Laplace Show that ...

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4 ways: trig integral ∫sin(x) cos(x) dx

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2nd/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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2nd/2ways: r-Permutations

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Variability or spread of a distribution. Whey we need it!

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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sq root integral ∫1/√...√√x dx with n √

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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2 ways: trig integral ∫ sin^2(ax+b) dx

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

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