2nd/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2

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2nd way: integral ∫ log √x(x^n) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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count: How many subsets does {23,24,25,...,118} have?

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3rd/3part: Maclaurin Series [ahp kia]

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UC Davis: #10 trig integral ∫sin(x)/(1+sin(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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4 ways: trig integral ∫sin(x) cos(x) dx

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trig Show these identities ...

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count Show Σ k^2 = ΣΣmin(i,j) where i,j,k=1 to n

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2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term

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

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2 ways: Find ∫(ax^x+bx+c) dx

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2nd way: integral ∫1/(x (x^n+1)) dx

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trig integral ∫1/cos(ax+b) dx

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The University of Maine: rational function integral compute

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2nd/3ways: exp Derivative x^x

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2 ways: Derivative √ (1+√ (1+√ x)))

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commutative: ab=ba via "picture"

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