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

1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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FANART Ulang Tahun Zayne😍

CHYTHRUSH

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

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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Pantun Melayu [Buah cempedak di luar pagar]

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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We lost original x's but still know mean x̄ & n. Now we collected m new observations.

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Pure Math: Calculate the coordinates of the two points on the curve

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Variance measured in the squares of the units for the observations.

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2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term

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2 ways: diff eq Solve dy/dx=y-1

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Prove the slope-intercept formula by using the slope formula for the line that has slope m, ...

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exp integral ∫a^x/b^x dx

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integral ∫√(x-a)/x dx

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

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3 ways: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(ax+b) dx

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