3 ways: trig Show sec(2x)=sec^2(x)/(2-sec^2(x))

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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Difference of 2 nonconsecutive triangular numbers

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

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trig integral ∫1/(1+cos(ax+b)) dx

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

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JEE Main integral x^2/(a+bx)^2 dx

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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Add math: Find the equation of the line ...

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Why the mean of AP is the median of AP? mean=median?

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

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2nd way: integral ∫x/(a-bx^4) dx

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