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integral ∫x^3/(x+2) dx

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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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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2nd/3ways: trig integral ∫sec(x) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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

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GPT4: A tweet snippet from Michal Kosinski

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I.B.P Derivation [Integration By Parts]

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A function f is called even if f(-x)=f(x) for ALL x in the domain of f &

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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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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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4th way: rational function integral ∫x^3/√ (1+x^2) dx
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4th way: rational function integral ∫x^3/√ (1+x^2) dx

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2nd Alternate trig ∫integral sin(x) dx
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2nd Alternate trig ∫integral sin(x) dx

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Is 4cos^3(x)-3cos(x) EVEN, ODD, NEITHER, BOTH EVEN & ODD?
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Is 4cos^3(x)-3cos(x) EVEN, ODD, NEITHER, BOTH EVEN & ODD?

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

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sq root integral ∫1/√...√√x dx with n √
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sq root integral ∫1/√...√√x dx with n √

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Practice STPM Math Sem2 derivative

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Derivative: Don't blindly use the Quotient Rule every time you see a quotient

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Alternate way: trig integral ∫sin(x) dx
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Alternate way: trig integral ∫sin(x) dx

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