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derivative log f(g(x)) (p(r(x)))

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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

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

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

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logic: tautology (¬p→q)∧(¬p→¬q) →p
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logic: tautology (¬p→q)∧(¬p→¬q) →p

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

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[March 29/AI-assisted] Twins hinahima Official PV [MCE Localization Team]

XiarihuantingMCEXiarihuantingMCE

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If nC9=nC8, find nC17.
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If nC9=nC8, find nC17.

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

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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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trig integral ∫sin(1/x^2)/x^3 dx
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trig integral ∫sin(1/x^2)/x^3 dx

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Mohammad Ali Jinnah University: Integrate the followings.
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Mohammad Ali Jinnah University: Integrate the followings.

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Find the derivative of f(x)=(1+2x^2)(x-x^2) in 2 ways
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Find the derivative of f(x)=(1+2x^2)(x-x^2) in 2 ways

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commutative: ab=ba via "picture"
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commutative: ab=ba via "picture"

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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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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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