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2010 #2 MIT Integration Bee

2:34

2010 #2 MIT Integration Bee

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(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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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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Review: Linear form, Quadratic form & Bilinear form

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Review: Linear form, Quadratic form & Bilinear form

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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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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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lim x/e^x? as x→∞

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lim x/e^x? as x→∞

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integral ∫ x dx withOUT using Power rule.

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integral ∫ x dx withOUT using Power rule.

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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Find the expected value & the variance of a geometric r.v. X

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Find the expected value & the variance of a geometric r.v. X

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula

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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula

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prob stat: For events A & B it is known that P(A)=P(B), P(AnB)=0.1 & P(AuB)=0.7. Find P(A')

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prob stat: For events A & B it is known that P(A)=P(B), P(AnB)=0.1 & P(AuB)=0.7. Find P(A')

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2nd way: exp integral ∫e^(1/x)/x^2 dx

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2nd way: exp integral ∫e^(1/x)/x^2 dx

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exp integral ∫10^x e^(10x) dx

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exp integral ∫10^x e^(10x) dx

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

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

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx

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Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx

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