#2 2012 MIT Integration Bee Qualifying Exam

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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

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

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85

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prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85

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2024 MIT Integration Bee Final

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2024 MIT Integration Bee Final

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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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4 ways: trig integral ∫tan(x) dx

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4 ways: trig integral ∫tan(x) dx

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Calculus: Find nth derivative of log(ax+b)

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Calculus: Find nth derivative of log(ax+b)

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How did “Chinese specialties” ignite European culture?

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How did “Chinese specialties” ignite European culture?

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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

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Screen Recording 2024-02-16 at 9.19.45 PM

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Screen Recording 2024-02-16 at 9.19.45 PM

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

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

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UC Davis #22 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub

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UC Davis #22 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam

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#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam

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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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logic: De Morgan's Law

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logic: De Morgan's Law

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AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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1st/2ways: Taylor series of sin(x)

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1st/2ways: Taylor series of sin(x)

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