Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

Suppose f & g are positive functions. Obtain the product rule for (fg)' by differentiating ...

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2nd way: integral ∫ log √x(x^n) dx

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Pantun Melayu [Sorong papan tarik papan]

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

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logic Idempotent law show x=xVx

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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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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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trig integral ∫(sin^3(ln(x))+cos^3(ln(x))/x dx

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NONelementary integral ∫e^(ax)/x dx

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Wishing you a Merry Christmas & Happy New Year.

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1st way: If x^y+ y^x=2 then find dy/dx

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2nd way: integral ∫1/(x (a^2+ln(bx)) dx

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trig integral (sec(2x)-1)/(sec(2x)+1) dx

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Screen Recording 2024-02-18 at 12.10.36 AM

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trig integral ∫cot(x) log(sin(x)) dx

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integral ∫1/(1-(2x+3)^2) dx

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"baby" fact: exp e^(ix)

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Screen Recording 2024-02-21 at 11.53.14 PM

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2 ways: exp integral p^(qx+r) dx

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2 ways: integral ∫x/(x+a) dx

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