1Screen Recording 2024-05-17 at 6.16.11 PM

example: Mean, Median & Mode

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Swinburne U 2nd way: e^(-e^x) e^x dx

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lim x/e^x? as x→∞

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2nd/3ways: exp Derivative x^x

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Screen Recording 2024-05-10 at 6.28.27 PM

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prob stat: Find the weighted mean of the numbers 8 &12, if they are ...

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2nd way: exp integral ∫e^(a√x)/√x dx

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integration bee 2018 Swinburne U integral x^2/2 ln(2/x^2) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx

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Screen Recording 2024-05-05 at 11.19.25 PM

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MP-98 2nd/2 ways Evaluate i) ∫e^(loge(x)) dx ii) ∫e^(-loge(x)) dx

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2 ways: trig integral cos^2(x) sin^2(x) dx

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1st way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx

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Compute the arithmetic mean for the following grouped data ...

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ cos^2(x) sin^3(x) dx

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prob stat: For events A & B it is known that P(A)=2/3, P(AuB)=3/4 & P(AnB)=5/12. Find P(B)

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2 ways: integral (3+5x)/(x(x-1)) dx

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1st way: Calculate integral ∫x^2 (x+1)^9 dx

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