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#20 2022 MIT Integration Bee Qualifying Exam

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integral exp ∫e^(mx)/(x^n) dx via Reduction formula
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integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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Which pairs are equivalent via truth table?

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#9 2010 MIT Integration Bee Qualifying Exam

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2 ways: derivative x √√x
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2 ways: derivative x √√x

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Add math: 1st/3ways Core Auditorium is an amphitheater that has ..
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Add math: 1st/3ways Core Auditorium is an amphitheater that has ..

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))
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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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4 ways: trig integral ∫tan(x) dx
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4 ways: trig integral ∫tan(x) dx

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)
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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.
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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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#19 2011 MIT Integration Bee Qualifying Exam
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#19 2011 MIT Integration Bee Qualifying Exam

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integral ∫x^3/(x+2) dx
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integral ∫x^3/(x+2) dx

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If u=f(y/x) then prove that x∂u/∂x + y∂u/∂y = 0
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If u=f(y/x) then prove that x∂u/∂x + y∂u/∂y = 0

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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))
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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

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#16 2014 MIT Integration Bee Qualifying Exam
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#16 2014 MIT Integration Bee Qualifying Exam

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