#17 2022 MIT Integration Bee Qualifying Exam

IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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stat: SLR Properties of residuals

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)

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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)

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

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prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx

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Study-Group.Episode-8.Korean Drama.Esubs

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Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) dx

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2nd way: sq rt integral ∫ √√e^x dx

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Consider the mode, median, mean.

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2nd way: integral ∫x^(n-1) /(a-bx^n) dx

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Gurjat CET-2007 2nd way log exp ∫e^(xln(2006) e^x dx

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1st/parts: Derivative of the inverse circular functions

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derivative x^n vs n^x vs x^x

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2 ways: Evaluate lim sin(x)/tan(x) where x tends to 0.

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trig integral ∫x sec^5(x^2) tan(x^2) dx

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