#14 2011 MIT Integration Bee Qualifying Exam

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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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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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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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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logic Idempotent law show x=xVx

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logic Idempotent law show x=xVx

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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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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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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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trig Write each expression as an equivalent algebraic expression involving only x.

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trig Write each expression as an equivalent algebraic expression involving only x.

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Evaluate these 9 integrals containing ...

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Evaluate these 9 integrals containing ...

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matrix example: How to select the ROW you want ...

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matrix example: How to select the ROW you want ...

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2nd way: trig integral ∫1/(1+sec(x)) dx

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2nd way: trig integral ∫1/(1+sec(x)) dx

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SBR _ D.10 - 26.9.2025 _ IAS 21 - Foregin currency & Question Practice _ Md Shah

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SBR _ D.10 - 26.9.2025 _ IAS 21 - Foregin currency & Question Practice _ Md Shah

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The prob. density function of a r.v X is given by the formula

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The prob. density function of a r.v X is given by the formula

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2nd way: integral ∫p^(nx) q^x dx

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2nd way: integral ∫p^(nx) q^x dx

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2nd way: ∫ (4x^2 +x +9)/((x^2+1)(x^2+3)) dx withOUT partial fraction

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2nd way: ∫ (4x^2 +x +9)/((x^2+1)(x^2+3)) dx withOUT partial fraction

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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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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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2nd way: integral tan(x)/(1+tan(x)) dx

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2nd way: integral tan(x)/(1+tan(x)) dx

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An Evening In Paris (1967) // Shammi Kapoor, Sharmila Tagore

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An Evening In Paris (1967) // Shammi Kapoor, Sharmila Tagore

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