hyper trig integral ∫cosh(x) a^(logb(sinh(x)) ))dx

Show ∫1/(a+btan(x)) dx = ...

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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

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Pantun Melayu [Buah cempedak di luar pagar]

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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

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Lamar U: Derivatives of Exponential & Log Functions Practice Problems.

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3 ways: Derivative x^(-1/x)

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2nd/2parts: Linear interpolation (2 given points)

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Pascal's triangle nth triangular number [examples]

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Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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alternate way: count sum 1+3+5+ ... +(2n-1)

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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