Screen Recording 2024-05-06 at 11.55.08 PM

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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count quick review: Permutation vs Combination

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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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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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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#2 2011 MIT Integration Bee Qualifying Exam

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I just love watching this kind of livestream (;: )

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Alternate way: exp derivative x^n

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#10 2023 MIT Integration Bee Qualifying Exam

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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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2010 #2 MIT Integration Bee

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UC Davis #14: trig integral ∫(sin(x)-cos(x))(sin(x)+cos(x))^5 dx

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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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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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derivative (f(x)/g(x))^h(x)

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Do you know ... paper folding ...

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alternate way: count sum 1+3+5+ ... +(2n-1)

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