#6 2019 MIT Integration Bee Final

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example: Mean, Median & Mode

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example: Mean, Median & Mode

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

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Review: Linear form, Quadratic form & Bilinear form

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2nd/3ways: trig integral ∫sec(x) dx

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UT Austin: trig integral ∫(1-cos^2(x/2))^2 sin(x/2) dx

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UT Austin: trig integral ∫(1-cos^2(x/2))^2 sin(x/2) dx

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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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exp derivative x^n w.r.t x

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exp derivative x^n w.r.t x

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2nd way: integral ∫ log n√x (x) dx

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2nd way: integral ∫ log n√x (x) dx

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2 ways: derivative a^f(g(x))

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2 ways: derivative a^f(g(x))

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

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Iowa State U [Fall 2019]: integral Find the integral

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Iowa State U [Fall 2019]: integral Find the integral

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alternate way: count sum 1+3+5+ ... +(2n-1)

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alternate way: count sum 1+3+5+ ... +(2n-1)

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Do you know ... paper folding ...

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Do you know ... paper folding ...

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U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx

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U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx

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I.B.P Derivation [Integration By Parts]

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I.B.P Derivation [Integration By Parts]

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Screen Recording 2023-12-30 at 9.34.01 PM

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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median

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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median

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

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

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