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

Screen Recording 2024-05-18 at 10.21.39 PM

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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lim x/e^x? as x→∞

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

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

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Mono (Episode 12)

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integration bee 2018 Swineburne U 2nd way 1/(x^3+x) dx

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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx

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integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx

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Screen Recording 2024-05-10 at 5.37.05 PM

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Screen Recording 2024-05-12 at 8.48.55 PM

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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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Screen Recording 2024-05-18 at 12.32.05 AM

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Screen Recording 2024-05-11 at 8.48.24 PM

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