3 ways: ∫ (3x+11)/(x^2-x-6) dx

2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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

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

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

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What is π?

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example: Mean, Median & Mode

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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trig integral ∫1/(1+cos(ax+b)) dx

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1st/2ways: Taylor series of cos(x)

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logic How can we check our Boolean simplification is done correctly?

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logic Show by truth table x∧(x→y)→y is Tautology

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

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Polite number

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1st/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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