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STPM Math T Sem.2 Exponential fun: Find the derivative (19)-(40)
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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trig Write each expression as an equivalent algebraic expression involving only x.
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2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2
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2 ways: trig exp derivative e^(sin(x)) sin(e^x)
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Review: Product to Sum Identities
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4th/4ways: trig derivative sin(x)
2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median
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Find the median of 4,6,8,...,296
GPT4: A tweet snippet from Michal Kosinski
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trig integral ∫1/(√sin(x) √cos^7(x)) dx
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2nd/3 parts: Growing patterns
2nd part: STPM Math T Sem.2: 12.1 Numerical solution of Equations
sq root derivative √x [Good to know the result]
2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx
expon directive a^f(x)
2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)
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