2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)

Show that ar sinh(x) = ln(x + √ (x^2+1))

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2nd/3ways: trig integral ∫sec(x) dx

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logic Idempotent law show x=xVx

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2nd way: integral ∫ log √x(x^n) dx

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

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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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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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

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1st/3part: Maclaurin Series [ahp kia]

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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sq root derivative √x [Good to know the result]

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Practice STPM Math Sem2 derivative

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Calculus: Find nth derivative of log(ax+b)

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2 ways: integral ∫ 1/(x^2 √(1+x^2)) dx

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integral ∫(2x+3)/(4x^2+1) dx

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Always ZERO

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Review: trig sin(x+180)= -sin(x) & cos(x+180)=-cos(x)

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trig integral sin(tan(x)) cos(tan(x)) sec^2(x) dx [chain rule in reverse]

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1st/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

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trig integral ∫sin(1/x^2)/x^3 dx

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