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

3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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

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logic Idempotent law show x=xVx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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

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2nd/2ways: Taylor series of cos(x)

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Pascal's triangle nth triangular number [examples]

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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Lamar U: Use log. differentiation to find the 1st derivative of the given function

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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review: prob stat Population variance vs sample variance

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integration bee 2014 UNSW: 4th way: e^x(cos(x)+sin(x)) dx

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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radical function sq root Find the derivative of f(x) = √(x+1)

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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trig integral ∫1/(4-3cos^2(x)+5sin^2(x)) dx

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1st/3ways: exp Derivative x^x

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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