#14 MIT 2022 Integration Bee Qualifying Exam

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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

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

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

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Didn't you give up your pride a long time ago?

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exp integral e^2x/(1+e^x) dx

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exp integral e^2x/(1+e^x) dx

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Careful: arc sin(sin(5π/4)) ≠ ...

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Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.

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Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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2 ways: Σ 1? where k=m to n

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Growing patterns #3

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Growing patterns #3

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Quickie: 6169^2 - 2331^2?

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1st/2ways: r-Permutations

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1st/2ways: r-Permutations

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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3 ways: derivative e^y=x

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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