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#11 2014 MIT Integration Bee Qualifying Exam

0 ViewNov 30, 2023

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
0:57

RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Screen Recording 2024-05-13 at 9.20.51 PM
2:13

Screen Recording 2024-05-13 at 9.20.51 PM

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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2nd way: derivative (x^x)^x
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2nd way: derivative (x^x)^x

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

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#6 2024 MIT Integration Bee Qualifying Exam
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#6 2024 MIT Integration Bee Qualifying Exam

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Evaluate the integrals
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Evaluate the integrals

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)
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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub
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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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doneScreen Recording 2024-05-18 at 10.25.20 PM
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doneScreen Recording 2024-05-18 at 10.25.20 PM

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2nd way: trig integral ∫1/(1+sin^2(x))cos^2(x))
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2nd way: trig integral ∫1/(1+sin^2(x))cos^2(x))

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2 ways: derivative √(x+1) √(x-1)
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2 ways: derivative √(x+1) √(x-1)

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Screen Recording 2024-05-18 at 10.21.39 PM
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Screen Recording 2024-05-18 at 10.21.39 PM

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx
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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx
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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) dx

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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam
1:34

#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

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

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

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trig integral sin(x+sin(x))-sin(x-sin(x)) dx
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trig integral sin(x+sin(x))-sin(x-sin(x)) dx

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

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Laman utama>#11 2014 MIT Integration Bee Qualifying Exam>