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#12 2012 MIT Integration Bee Qualifying Exam

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logic Idempotent law show x=xVx
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logic Idempotent law show x=xVx

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There are 2 lines. One line has 3 points & the other line has 6 points.
3:11

There are 2 lines. One line has 3 points & the other line has 6 points.

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

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2nd way: integral ∫ log √x(x^n) dx
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2nd way: integral ∫ log √x(x^n) dx

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Dum Dum Song Part-1
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Dum Dum Song Part-1

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2nd way: trig integral ∫sin(x/a) dx
1:18

2nd way: trig integral ∫sin(x/a) dx

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UC Davis #6 integral e^x(1+2e^x)^4 dx
0:46

UC Davis #6 integral e^x(1+2e^x)^4 dx

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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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stat: SLR Properties of residuals
6:21

stat: SLR Properties of residuals

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
8:37

1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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5 ways: integral ∫a^(px+q) dx
4:42

5 ways: integral ∫a^(px+q) dx

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2nd/2parts stat: SLR Regression lline always goes through the point (x̄, ȳ)
3:44

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

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Screen Recording 2023-12-07 at 2.04.49 AM
2:21

Screen Recording 2023-12-07 at 2.04.49 AM

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx
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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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

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2nd way: Evaluate integral ∫x^2/√(19-x^2) dx
2:47

2nd way: Evaluate integral ∫x^2/√(19-x^2) dx

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Given that X Geo(p), find P(X=k) if
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Given that X Geo(p), find P(X=k) if

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#2 2024 MIT Integration Bee Qualifying Exam
0:53

#2 2024 MIT Integration Bee Qualifying Exam

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2nd way: derivative y^2=4a(x+a sin(x/a))
1:38

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

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