#20 2022 MIT Integration Bee Qualifying Exam

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3 ways: sum Show 1+3+5+...nth term = n^2

5:23

3 ways: sum Show 1+3+5+...nth term = n^2

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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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trig Write each expression as an equivalent algebraic expression involving only x.

1:56

trig Write each expression as an equivalent algebraic expression involving only x.

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

1:13

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

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1st/2parts: Linear interpolation (2 given points)

5:03

1st/2parts: Linear interpolation (2 given points)

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Example: Find the sum

2:14

Example: Find the sum

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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exp integral ∫10^x e^(10x) dx

1:07

exp integral ∫10^x e^(10x) dx

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Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx

3:17

Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx

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2nd/2parts: Linear interpolation (2 given points)

9:42

2nd/2parts: Linear interpolation (2 given points)

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1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...

9:15

1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...

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STPM Math T Sem.2: 12.1 Numerical solution of Equations

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STPM Math T Sem.2: 12.1 Numerical solution of Equations

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Find the Maclurin series for (2x+3)(5x-4)

3:13

Find the Maclurin series for (2x+3)(5x-4)

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2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

7:23

2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

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logic: Show p→q ≡¬ p∨q

1:53

logic: Show p→q ≡¬ p∨q

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3 ways: If y=x/(1+x^2) find dy/dx.

3:30

3 ways: If y=x/(1+x^2) find dy/dx.

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logic: contradiction p∧¬p

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logic: contradiction p∧¬p

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

9:21

STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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trig integral ∫cot(x) log(sin(x)) dx

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trig integral ∫cot(x) log(sin(x)) dx

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