exp Calculate ∫x^3 3^x dx via IBP

#10 2023 MIT Integration Bee Qualifying Exam

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

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count quick review: Permutation vs Combination

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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

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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.

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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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Variability or spread of a distribution. Whey we need it!

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Columbia U: 2nd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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U of Arizona: For each integral decide which of the following is needed ....

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If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2

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2nd way: exp integral ∫2^(5x) 3^(-x) dx

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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UC Davis#4 4 ways: integrate 7^(2x+3) dx

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UC Davis: integrate sin(x)/(1+sin(x)) dx

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2nd way: integral ∫ log n√x (x) dx

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

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