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Review: Product to Sum Identities
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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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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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2 ways: sq root derivative 1/(√√(1/√x))
Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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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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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(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
MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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Iowa State U [Fall 2019]: integral Find the integral
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Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]
STPM Math T Sem.2:
Pure Math: Calculate the coordinates of the two points on the curve
Alternate way: exp derivative x^n
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2 ways: Derivative √ (1+√ (1+√ x)))
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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median
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Derivative: Don't blindly use the Quotient Rule every time you see a quotient
1st/3 parts: Growing patterns