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NYU: compute integral ∫√(1+ √x) dx
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2nd way: integral ∫ log √x(x^n) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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2nd way: derivative (x^x)^x
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Review: Linear form, Quadratic form & Bilinear form
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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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lim x/e^x? as x→∞
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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3
UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)
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2 ways: trig integral ∫tan^3(x) sec^2(x) dx
Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction
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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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integral exp ∫e^(mx)/(x^n) dx via Reduction formula
Rutgers U: compute log integral ∫x^2 (ln(x))^2 dx
#22 2019 MIT Integration Bee Final
2nd way: integral 1) ∫1/√(a - √b x^2)dx vs 2) ∫1/√(a - √b x^2) dx
AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]