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#16 2014 MIT Integration Bee Qualifying Exam

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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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Lamar U: trig integral ∫sin(13z) sin(4z) dz
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Lamar U: trig integral ∫sin(13z) sin(4z) dz

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

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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logic: tautology (¬p→q)∧(¬p→¬q) →p
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logic: tautology (¬p→q)∧(¬p→¬q) →p

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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trig Write each expression as an equivalent algebraic expression involving only x.
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trig Write each expression as an equivalent algebraic expression involving only 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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2nd/3ways: trig integral ∫sec(x) dx
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2nd/3ways: trig integral ∫sec(x) dx

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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derivative (f(x)/g(x))^h(x)
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derivative (f(x)/g(x))^h(x)

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After a boy urinates, why doesn’t he use a tissue to wipe?
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After a boy urinates, why doesn’t he use a tissue to wipe?

dongdongdongmudongdongdongmu

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Find the mean of the data given in the freq. distribution below ...
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Find the mean of the data given in the freq. distribution below ...

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2nd way: trig integral ∫x sin(x) sec^3(x) dx
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2nd way: trig integral ∫x sin(x) sec^3(x) dx

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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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"Recommended only for you, who are interesting and not careless."
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"Recommended only for you, who are interesting and not careless."

brice_hobrice_ho

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NDA-2004 2nd way integral ∫(x-x^3)^1/3/x^4 dx
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NDA-2004 2nd way integral ∫(x-x^3)^1/3/x^4 dx

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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1
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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1

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#3 2017 MIT Integration Bee Qualifying Exam
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#3 2017 MIT Integration Bee Qualifying Exam

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