Alternate way exp derivative (logf(x)(g(x)))^a

2nd/2ways: Evaluate trig integral ∫1/(sin(x) + cos(x)) dx

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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Pantun Melayu [Buah cempedak di luar pagar]

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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

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

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derivative Find dy/dx if y+sin(y)= cos(x)

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2nd/2 parts: 2 (elementary) rules

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Alternate way: Derivative y=ln((x^4-8)^5/(x^6+5x)cos(x))

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What is π?

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Show log b^n(x^m) = m/n logb(x)

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2 ways: trig integral ∫ sin(ax+b) dx

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The University of Maine: rational function integral compute

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3 ways: trig integral ∫sin([118]) cos([118]) d[118]

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3rd way: nCr = (n-1)Cr + (n-1)C(r-1)

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4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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log integral ∫ln(1/x)/x^2 dx

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3rd way: rational function integral ∫x^3/√ (1+x^2) dx

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2nd way: derivative (x^x)√ x

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