derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y

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

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

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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Bijection of elements in tn & a pair of elements of (n+1)

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Alternate way: ∫(5+2x)/(x+x^4)dx

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

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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Determine the equation of the normal drawn to the astroid ...

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UC Davis: differentiate y=(3x+1)^2

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trig integral ∫cot(x) log(sin(x)) dx

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AP Calculus 2nd way trig integral ∫x^2 cos(x) dx

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exp derivative e^f(g(x)) h(x)

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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

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UC Davis#4 4 ways: integrate 7^(2x+3) dx

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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)

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prob stat: What is the median for the following set of scores?

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