#19 2019 MIT Integration Bee Final

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

4:36

Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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

0:45

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

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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

5:03

If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

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Add math: Find the equation of the line ...

2:28

Add math: Find the equation of the line ...

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#14 2014 MIT Integration Bee Qualifying Exam

2:33

#14 2014 MIT Integration Bee Qualifying Exam

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AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx

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AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx

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AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]

3:10

AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]

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Rutgers U: Verify using calculus

2:25

Rutgers U: Verify using calculus

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Suppose E & F are mutually exclusive events. Must E & F be complementary? Explain your answer.

3:48

Suppose E & F are mutually exclusive events. Must E & F be complementary? Explain your answer.

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2nd way: trig integral ∫1/(1+sec(x)) dx

1:40

2nd way: trig integral ∫1/(1+sec(x)) dx

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A couple has 6 children whose ages are 6,8,10,12,14,16. Find the variance in ages.

3:49

A couple has 6 children whose ages are 6,8,10,12,14,16. Find the variance in ages.

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

4:50

review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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Find the number of permutations of the letters of the word ALLAHABAD

1:35

Find the number of permutations of the letters of the word ALLAHABAD

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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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2nd way: integral ∫log n√(ax+b)(ax+b) dxx

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2nd way: integral ∫log n√(ax+b)(ax+b) dxx

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#19 2010 MIT Integration Bee Qualifying Exam

1:46

#19 2010 MIT Integration Bee Qualifying Exam

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AP Calculus 2nd way: trig integral ∫dx/(4-3cos^2(x)+5sin^2(x)) dx

1:35

AP Calculus 2nd way: trig integral ∫dx/(4-3cos^2(x)+5sin^2(x)) dx

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#16 2014 MIT Integration Bee Qualifying Exam

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#16 2014 MIT Integration Bee Qualifying Exam

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Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

1:55

Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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2nd way: trig integral ∫ 1/(3+4sin^2(x)) dx

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2nd way: trig integral ∫ 1/(3+4sin^2(x)) dx

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