Penn. State U: Suppose the p.m.f of discrete random variable X is ...

integral ∫√(x-a)/x dx

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lim x/e^x? as x→∞

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Solve the differential equation cos^2(y) dx +(1+e^(-x) sin(y) dy=0

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

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integral ∫1/((px-q)^2+r) dx

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[Eng sub] One-Room TA |Episode 2

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CMU: Find these integrals (a)-(b)

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countryside

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Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]

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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))

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1st/2ways: logic Import-Export

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

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exp integral ∫ (e^2x -1) /(e^2x +1)dx

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3rd/3 ways: trig integral ∫ sin(ax+b) dx

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OSU Math 1151 Practice1: Compute the derivative (1)-(8)

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Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx

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Find the median of 4,6,8,...,296

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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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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