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COMMON MISTAKE: (1) logb(m) logb(n) ≠ logb(m+n)

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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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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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logic Idempotent law show x=xVx

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3rd/3ways: exp Derivative x^x

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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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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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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))

1:48

UC Davis: differentiate y=ln(cos^5(3x^4))

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Overlord Movie 3: The Sacred Kingdom Sub English

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Overlord Movie 3: The Sacred Kingdom Sub English

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【Shiny Watermelon】Sorry, Qingya, but it's really funny

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【Shiny Watermelon】Sorry, Qingya, but it's really funny

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Screen Recording 2024-05-18 at 11.12.27 PM

1:05

Screen Recording 2024-05-18 at 11.12.27 PM

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exp integral ∫a^x/b^x dx

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exp integral ∫a^x/b^x dx

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

3:09

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

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Genshin Impact Thinking

1:28

Genshin Impact Thinking

___________68425

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Find the number of different 8 letter arrangements that can be made from the letters of the word ..

2:27

Find the number of different 8 letter arrangements that can be made from the letters of the word ..

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1st way: trig derivative (sin(x))^x

1:19

1st way: trig derivative (sin(x))^x

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2nd way: trig integral ∫1/(sin(x) cos^2(x)) dx

2:02

2nd way: trig integral ∫1/(sin(x) cos^2(x)) dx

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4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

3:59

4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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

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

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9Screen Recording 2023-12-02 at 2.43.56 AM

1:41

9Screen Recording 2023-12-02 at 2.43.56 AM

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