#3 2010 MIT Integration Bee Qualifying Exam

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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

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

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

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

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logic Idempotent law show x=xVx

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logic Idempotent law show x=xVx

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

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

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

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

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

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

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Review: Linear form, Quadratic form & Bilinear form

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Review: Linear form, Quadratic form & Bilinear form

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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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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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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Columbia U: 6th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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Columbia U: 6th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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3 ways: sum Show 1+3+5+...nth term = n^2

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3 ways: sum Show 1+3+5+...nth term = n^2

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STPM Math T Sem.2 Exponential fun: Find the derivative (19)-(40)

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STPM Math T Sem.2 Exponential fun: Find the derivative (19)-(40)

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2nd way: log sq rt ∫ln(ax+b)/n√(ax+b)^m dx

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2nd way: log sq rt ∫ln(ax+b)/n√(ax+b)^m dx

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Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx

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Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx

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derivative x^n vs n^x vs x^x

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derivative x^n vs n^x vs x^x

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Screen Recording 2024-05-05 at 11.16.06 PM

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Screen Recording 2024-05-05 at 11.16.06 PM

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2 ways: exp log integral ∫3^(log81(x)) dx

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2 ways: exp log integral ∫3^(log81(x)) dx

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