Columbia U: 6th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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

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

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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.

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JHU: integral ∫t^3 e^(t^2) dt

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UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)

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Which of the following do NOT constitute a set & WHY?

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sum picture proof show 1^2+2^2+3^2+...+n^n=1/3 1/2n(1+n) (2n+1)

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

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U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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prob stat: An ordinary die is thrown. Find the prob. that the number obtained is

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NYU: compute ∫ln(x)/x^2 dx

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