Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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

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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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lim x/e^x? as x→∞

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

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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Find the expected value & the variance of a geometric r.v. X

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stat: SLR Properties of residuals

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx

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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula

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example: Mean, Median & Mode

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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Rutgers U: Verify using calculus

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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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Columbia U: 10th/10 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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NYU: 2 ways integral ∫(x^2 + 2x +1) dx

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Rutgers U: compute log integral ∫x^2 (ln(x))^2 dx

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Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4

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