#1 2017 MIT Integration Bee Qualifying Exam

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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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Alternate way: exp derivative x^n

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Alternate way: exp derivative x^n

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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2 ways: sq root derivative 1/(√√(1/√x))

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2 ways: sq root derivative 1/(√√(1/√x))

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) 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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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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logic: tautology p→q≡(¬q→¬p)

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logic: tautology p→q≡(¬q→¬p)

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Alternate way: trig integral ∫cos(x) dx

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Alternate way: trig integral ∫cos(x) dx

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2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)

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2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)

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2 ways: integral ∫x/(x+a) dx

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2 ways: integral ∫x/(x+a) dx

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2nd way: derivative y=e^x sin(x) cos^3(x)

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2nd way: derivative y=e^x sin(x) cos^3(x)

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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2 ways: trig exp derivative e^(sin(x)) sin(e^x)

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2 ways: trig exp derivative e^(sin(x)) sin(e^x)

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Why are we afraid of eerie faces? What causes the uncanny valley effect, and how can we understand a

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Why are we afraid of eerie faces? What causes the uncanny valley effect, and how can we understand a

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx

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Practice STPM Math Sem2 derivative

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Practice STPM Math Sem2 derivative

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GlitchGeometrics

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UT Austin: ∫x (1-x^2)^1/4 dx

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UT Austin: ∫x (1-x^2)^1/4 dx

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1st/2parts: 2 (elementary) rules

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1st/2parts: 2 (elementary) rules

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