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[No. 246: Imari’s Big Sister] Watching the Sea with a Sweet Girl — “The Plan to Collect All the Good
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2nd/3ways: trig integral ∫sec(x) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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2nd way: derivative (x^x)^x
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)
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Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2
trig Show these identities ...
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derivative log f(g(x)) (p(r(x)))
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Review count Common mistake Rearrangement LOOT=4!/2 vs LULL NOT = 4!/3
#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam
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prob stat: E(X-E(X))?
UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n
2nd way: Express (4x-17)/((x+4)(2x-3)) in partial fractions via
derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)
2nd/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0
1st/2ways: 1+2+3+...+(n-1)+n+(n-1)+...+3+2+1 = n^2
2nd video: 🇪🇹Yemariam🇪🇹 [Draw a person with top hat with digits ...]