#2 2011 MIT Integration Bee Qualifying Exam

prob stat: A fair die is thrown twice. Find the prob. that two 5's are thrown.

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

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Pantun Melayu [Sorong papan tarik papan]

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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx

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exp integral ∫e^x /(e^2x + 4) dx

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NYU: 2nd way compute log integral ∫1/x ln(x) dx

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trig integral ∫x/(1+x) dx vs ∫cos(x)/(1+cos(x)) dx

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2nd way: derivative y^2=4a(x+a sin(x/a))

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What is the median for the sample presented in the following freq. distribution table?

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1997 AP Calculus BC: If x=e^(2t) & y=sin(2t), then dy/dx=

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UC Davis: #9 exp integral ∫x 3^(x^2+1) dx

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Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx

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Find f'(x) in terms of g'(x)

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

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3 ways: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(ax+b) dx

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2nd way: exp integral e^3x/(e^x +2) dx withOUT u-sub

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2 ways: Derivative √ (1+√ (1+√ x)))

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UC Davis #18: integral sec(x) tan(x) sqrtt(4+3 sec(x)) d

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1st/3 parts: Growing patterns

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