logic: De Morgan's Law

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

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Bijection of elements in tn & a pair of elements of (n+1)

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2 ways: sq root derivative 1/(√√(1/√x))

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

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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OSU Math 1151 Practice1: Compute the derivative (1)-(8)

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log sq root integral ∫ln(√ x^3)/√ √ x dx

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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Conversion: Permutation - Combination vice versa

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

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

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prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point

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

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3rd/3ways: trig integral ∫sec(x) dx

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

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