Lim Peh's version: Pantun Melayu [sorong papan tarik papan]

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2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2

5:35

2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

5:18

Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

21 Views

Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

4:59

Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

14 Views

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

0:45

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

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

2:09

MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

25 Views

2nd/3ways: trig integral ∫sec(x) dx

1:46

2nd/3ways: trig integral ∫sec(x) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

1:49

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

1:11

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

18 Views

2nd way: integral ∫ log √x(x^n) dx

1:00

2nd way: integral ∫ log √x(x^n) dx

60 Views

MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

0:50

MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

26 Views

MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

0:53

MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Logical equivalent involving ... tautology & contradiction

2:17

Logical equivalent involving ... tautology & contradiction

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Integrate ∫x^3 sin(arc tan(x^4))/(1+x^8) dx

0:55

Integrate ∫x^3 sin(arc tan(x^4))/(1+x^8) dx

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Derivative: Don't blindly use the Quotient Rule every time you see a quotient

3:27

Derivative: Don't blindly use the Quotient Rule every time you see a quotient

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log derivative ln(x) via chain rule

1:20

log derivative ln(x) via chain rule

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UT Austin: sq root integral ∫1/((√x) (1+ √x))dx

0:56

UT Austin: sq root integral ∫1/((√x) (1+ √x))dx

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Florida International U: Find derivatives ...defined implicitly ... (a)-(c)

2:47

Florida International U: Find derivatives ...defined implicitly ... (a)-(c)

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Lamar U: #12 trig integral evaluate ∫sec^4(2t)/tan^9(2t) dt

2:00

Lamar U: #12 trig integral evaluate ∫sec^4(2t)/tan^9(2t) dt

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trig integral a) Show that sin(t) cos(t)=1/2 sin^2(t)+c

2:57

trig integral a) Show that sin(t) cos(t)=1/2 sin^2(t)+c

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Vandermonde's Identity

3:58

Vandermonde's Identity

5 Views