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"baby" fact: exp e^(ix)
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2nd/3ways: trig integral ∫sec(x) dx
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2nd way: integral ∫ log √x(x^n) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(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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prob stat: x̄=∑xk where k=1,2,3,...,n?
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UC Davis #14: trig integral ∫(sin(x)-cos(x))(sin(x)+cos(x))^5 dx
trig integral ∫1/(1+cos(ax+b)) dx
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Pascal's triangle rCk [examples]
1st/3ways: exp Derivative x^x
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derivative differentiate x^sin(x) + (sin(x))^cos(x)
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Show that ar sinh(x) = ln(x + √ (x^2+1))
UC Davis #12: exp integrate ∫(27e^(9x) + e^(12x))^(1/3) dx
count comb: How many subsets does {{{118},{{18,19,20,21,...,118}},{{{118}}} }} have?
2nd way: log hyper trig derivative ln(tanh(2x))
2nd way: trig differentiate (log(x))^cos(x)
2 ways: log derivative y=ln(a+b)
3 ways: integral (2-x)/(x(x+1)) dx
2nd way: trig integral ∫x sin(ax^2-b^2) dx
exp integral ∫1/(e^(ax+b) (1+e^(ax+b)) dx