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exp sq root integral ∫(√√ϕ)^x/(π^x) dx

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exp sq root integral ∫(√√ϕ)^x/(π^x) dx

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

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(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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Pantun Melayu [Buah cempedak di luar pagar]

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Pantun Melayu [Buah cempedak di luar pagar]

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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Pantun Melayu [Sorong papan tarik papan]

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Pantun Melayu [Sorong papan tarik papan]

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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2024 MIT Integration Bee Final

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2024 MIT Integration Bee Final

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2nd way: integral ∫1/x log mb(x) dx

1:14

2nd way: integral ∫1/x log mb(x) dx

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JHU: integral ∫t^3 e^(t^2) dt

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JHU: integral ∫t^3 e^(t^2) dt

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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

2:24

prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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2nd way: trig integral ∫sin(x)/(a-bcos(x)) dx

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2nd way: trig integral ∫sin(x)/(a-bcos(x)) dx

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2nd way: integral ∫x^(n-1) /(a-bx^n) dx

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2nd way: integral ∫x^(n-1) /(a-bx^n) dx

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

1:44

A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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prob stat: An ordinary die is thrown. Find the prob. that the number obtained is

1:51

prob stat: An ordinary die is thrown. Find the prob. that the number obtained is

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2nd way: integral ∫1/x logb(x) dx

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2nd way: integral ∫1/x logb(x) dx

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Example: Find the sum

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Example: Find the sum

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

2:57

Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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Show log b^n(x^m) = m/n logb(x)

2:58

Show log b^n(x^m) = m/n logb(x)

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