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COMMON MISTAKE: (1) logb(m) logb(n) ≠ logb(m+n)
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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logic Idempotent law show x=xVx
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3rd/3ways: exp Derivative x^x
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Find the number of permutations of the letters of the word ALLAHABAD
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2nd way: derivative x w.r.t x^x. [YES, d(x)/d(x^x)!]
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UC Davis: differentiate y=ln(cos^5(3x^4))
Overlord Movie 3: The Sacred Kingdom Sub English
Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2
【Shiny Watermelon】Sorry, Qingya, but it's really funny
exp integral ∫a^x/b^x dx
Screen Recording 2024-05-18 at 11.12.27 PM
Genshin Impact Thinking
1st way: trig derivative (sin(x))^x
3rd/3 ways: How many chords can be drawn through 21 points on a circle?
4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number
2nd/2 ways: [k-map] logic:Simplify the Boolean function F=A+A'B
2nd way: trig integral ∫1/(sin(x) cos^2(x)) dx
If 4xe^(xy)=y+5sin^2(x) then find the value of y'(0)
9Screen Recording 2023-12-02 at 2.43.56 AM