#4 2010 MIT Integration Bee Qualifying Exam

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prob stat: One sample of n=4 scores has a mean of M=10, &

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prob stat: One sample of n=4 scores has a mean of M=10, &

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2nd way: integral ∫ log √x(x^n) dx

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2nd way: integral ∫ log √x(x^n) dx

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

1:11

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

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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2 ways: sq root derivative 1/(√√(1/√x))

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2 ways: sq root derivative 1/(√√(1/√x))

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Screen Recording 2024-05-05 at 11.22.54 PM

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Screen Recording 2024-05-05 at 11.22.54 PM

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:

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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:

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integration bee 2018 Swinburne U integral x^2/2 ln(2/x^2) dx

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integration bee 2018 Swinburne U integral x^2/2 ln(2/x^2) dx

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2010 Raytheon MATHCOUNTS National Competition

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2010 Raytheon MATHCOUNTS National Competition

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8Screen Recording 2023-12-07 at 1.55.57 AM

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8Screen Recording 2023-12-07 at 1.55.57 AM

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Screen Recording 2024-05-10 at 6.28.27 PM

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Screen Recording 2024-05-10 at 6.28.27 PM

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You've already called me Mom—how could I possibly refuse you?

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You've already called me Mom—how could I possibly refuse you?

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prob stat: Given events G & H:

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prob stat: Given events G & H:

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Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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trig integral ∫x sec^5(x^2) tan(x^2) dx

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trig integral ∫x sec^5(x^2) tan(x^2) dx

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Columbia U: 3rd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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Columbia U: 3rd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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Median [special weighted mean]

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Median [special weighted mean]

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Screen Recording 2024-05-19 at 11.13.23 PM

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Screen Recording 2024-05-19 at 11.13.23 PM

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