2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))

"baby" fact: exp even odd e^x

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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integral ∫√(x-a)/x dx

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Lamar U: trig integral ∫sec^2(9x) tan^3(9z) dx

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Evaluate lim (e^x -1)/x^2 where x tends to 0

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2nd way: ∫ 3/x^5 √((x^4+1)/x^4) dx

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Screen Recording 2024-05-11 at 8.53.58 PM

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)

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2 ways: integral 1 dx

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Find 1) E(X) 2) E(3X) 3) E(3x+2)

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2nd way: integral ∫1/cos(ax/2) dx

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Find the number of different 8 letter arrangements that can be made from the letters of the word ..

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4 ways: derivative x(log(x)-1)

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2nd way: Find dy/dx a)x^y=y^x b)x^y+y^x=(x+y)^(x+y c) (cos(x))^y=(sin(y))^x

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trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx

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Always ZERO

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Review: Product to Sum Identities

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2nd/2ways: Find lim (z^3-8)/(z-2) for z tends to 2

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