Princeton U: trig integral ∫sin(x)/√(1+cos(x)) dx

Screen Recording 2024-05-18 at 10.21.39 PM

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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2nd way: integral ∫ log √x(x^n) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2

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2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'

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UC Davis: differentiate y=2^cot(x)

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2nd way: integral ∫x/(a-bx^4) dx

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5th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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Difference of 2 nonconsecutive triangular numbers

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trig integral ∫1/(4-3cos^2(x)+5sin^2(x)) dx

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2nd/2 ways: [k-map] logic:Simplify the Boolean function F=A+A'B

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If 4xe^(xy)=y+5sin^2(x) then find the value of y'(0)

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trig integral ∫1/(1+cos(ax+b)) dx

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derivative differentiate x^sin(x) + (sin(x))^cos(x)

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derivative differentiate √((x-3)(x^2+4)/(3x^2+4x+5))

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2 ways: Derivative √ (1+√ (1+√ x)))

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