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#11 2019 MIT Integration Bee Final

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx
2:02

Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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logic: tautology (¬p→q)∧(¬p→¬q) →p
4:10

logic: tautology (¬p→q)∧(¬p→¬q) →p

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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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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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lim x/e^x? as x→∞
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lim x/e^x? as x→∞

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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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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub
3:44

#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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2nd way: trig integral ∫1/(1+sin^2(x))cos^2(x))
2:27

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

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integral ∫x^3/(x+2) dx
1:56

integral ∫x^3/(x+2) dx

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2nd way: trig integral ∫x sin(x) sec^3(x) dx
1:34

2nd way: trig integral ∫x sin(x) sec^3(x) dx

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2nd way: integral ∫1/(a + √√b (x^2)) dx
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2nd way: integral ∫1/(a + √√b (x^2)) dx

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Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx
2:27

Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx

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2nd way: trig sq rt Calculate integral ∫cos √x dx
1:04

2nd way: trig sq rt Calculate integral ∫cos √x dx

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2nd way: integral ∫1/x logb(x) dx
0:53

2nd way: integral ∫1/x logb(x) dx

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Add math: 3rd/3ways Core Auditorium is an amphitheater that has ..
5:26

Add math: 3rd/3ways Core Auditorium is an amphitheater that has ..

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2nd way:exp sq rt integral ∫1/( √x e^(a√x -b)) dx
0:59

2nd way:exp sq rt integral ∫1/( √x e^(a√x -b)) dx

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1st/2 ways: derivative y=(ln(x))^x
2:01

1st/2 ways: derivative y=(ln(x))^x

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2nd way: log sq rt integral ∫ln(x+1)/√(x+1) dx
1:32

2nd way: log sq rt integral ∫ln(x+1)/√(x+1) dx

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2nd way: derivative x^n w.r.t. n^x
1:13

2nd way: derivative x^n w.r.t. n^x

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