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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam
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2 ways: sq root derivative 1/(√√(1/√x))
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Swinburne U 2nd way: e^(-e^x) e^x dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2 ways: diff eq Solve dy/dx-x^2=0
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2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2
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stat: SLR Properties of residuals
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prob stat: The following frequency table gives the values obtained
OSU Math 1151 Practice1: Compute the derivative (1)-(8)
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Conversion: Permutation - Combination vice versa
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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx
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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5
A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.
1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx
2nd/2ways: count perm Show P(n,n)=P(n,n-1)
4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100
2 ways: Derivative √ (1+√ (1+√ x)))
review Differentiation [Implicit]
Alternate way: trig integral ∫cos(x) dx
AP Calculus 2nd way: integral ∫(1-√x)/(1+√x) dx