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2nd way: trig integral ∫sin(x/a) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
Review: Linear form, Quadratic form & Bilinear form
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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n
multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85
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Find the expected value & the variance of a geometric r.v. X
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Find the power set of each of the following sets ...
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#17 2022 MIT Integration Bee Qualifying Exam
trig integral sin(x+sin(x))-sin(x-sin(x)) dx
#2 2024 2nd/2 ways: MIT Integration Bee Qualifying Exam
2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1
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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1
2nd way: integral ∫1/x log mb(x) dx
2nd way: integral ∫x^2 (x+1)^9 dx via withOUT u-sub
UC Davis #1 2nd way: integral ∫1/(x^2-4) dx [integration by partial fraction]
#17 2010 MIT Integration Bee Qualifying Exam