STPM Math T: trig double angle Express cos(2x) & sin(2x) in terms of tan(x)

sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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Bijection of elements in tn & a pair of elements of (n+1)

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Pantun Melayu [Buah cempedak di luar pagar]

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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

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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 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2 ways: trig integral ∫cos^2(x) dx

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Alternate way: trig integral ∫cos(x) dx

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Let's Go Kaikigumi S1E6

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3rd/3ways: trig integral ∫sec(x) dx

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Alternate way: trig integral ∫sin(x) dx

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3 ways: sq root ∫√(1-x) dx

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integral ∫√(x-a)/x dx

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Let's Go Kaikigumi S1E5

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3rd/3ways: exp Derivative x^x

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2nd/3ways: exp Derivative x^x

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QOSOL

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4 ways: trig integral ∫sin(x) cos(x) dx

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