prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.

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

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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2nd/3ways: trig integral ∫sec(x) dx

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

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prob stat: The following frequency table gives the values obtained

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2 ways: integral ∫(a^2-x^2) dx

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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matrix example: How to select the ROW you want ...

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STPM Math T Sem.2:

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx

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1st/parts: Derivative of the inverse circular functions

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Always ZERO

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Express the sum of the digits of the number (1000^20 - 20) in decimal notation

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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examples: 2x2 matrix which is its own inverse

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