2nd way: derivative x w.r.t x^x. [YES, d(x)/d(x^x)!]

integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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Screen Recording 2024-05-18 at 10.21.39 PM

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1st/2parts: Linear interpolation (2 given points)

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2nd/2parts: Linear interpolation (2 given points)

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Difference of 2 nonconsecutive triangular numbers

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

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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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Compute the derivatives of the following function

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I.B.P Derivation [Integration By Parts]

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2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))

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example: Mean, Median & Mode

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2 ways: ∫1/(x^2+2x-3) dx

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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

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Median [special weighted mean]

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log 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ln(ln(x))/x dx

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

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exp derivative x^n w.r.t x

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trig Show ...

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UT Austin: trig integral ∫(1-cos^2(x/2))^2 sin(x/2) dx

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