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#8 2014 MIT Integration Bee Qualifying Exam

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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lim x/e^x? as x→∞

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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AP Calculus: integral ∫(5√x^3 + √6x) /√x dx

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UC Davis 1st way: sin(x)/(1+sin(x() dx

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

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2nd way: lim ((1+h)^3-1)/x? as h →0

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trig integral ∫sec(x) dx =

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