#18 2010 MIT Integration Bee Qualifying Exam

1st/2parts: Linear interpolation (2 given points)

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

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integral ∫ x dx withOUT using Power rule.

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

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1st/3part: Maclaurin Series [ahp kia]

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Review: Product to Sum Identities

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx

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STPM Math T Sem.2:

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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...

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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/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

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

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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2nd/3part: Maclaurin Series [ahp kia]

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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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4 ways: exp integral ∫a^(bx+c) dx

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2nd way: STPM Math 2 Sem.2 Ex 11.4 Find the first 4 terms in the Maclaurin series of each of ...

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2 ways: diff eq Solve dy/dx=y-1

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trig integral a) ∫csc^2(x) dx

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