Alternate way: exp derivative x^n

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This leg! Give it to me!

2:56

This leg! Give it to me!

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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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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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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sum: Find a close formula for 2,3,14,24,37,...

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sum: Find a close formula for 2,3,14,24,37,...

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2 ways: trig integral ∫cos^3(x) sin^2(x) dx

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2 ways: trig integral ∫cos^3(x) sin^2(x) dx

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2nd/2ways: Taylor series of cos(x)

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2nd/2ways: Taylor series of cos(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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Derivative d(x^(arc sin(x))/d(arc sin(x))

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Derivative d(x^(arc sin(x))/d(arc sin(x))

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1st/3 parts: Growing patterns

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1st/3 parts: Growing patterns

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Jiyin Island has always been so arrogant in its actions.

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Jiyin Island has always been so arrogant in its actions.

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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2 ways: trig Prove the identity sin(2x)=2/(tan(x)+cot(x))

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2 ways: trig Prove the identity sin(2x)=2/(tan(x)+cot(x))

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2 ways: derivative x √√x

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2 ways: derivative x √√x

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Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub

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Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub

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

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

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Growing patterns #2

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Growing patterns #2

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

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

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sq root derivative √'(f(x)

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sq root derivative √'(f(x)

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2 ways: trig integral ∫sec^2(x) csc^2(x) dx

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2 ways: trig integral ∫sec^2(x) csc^2(x) dx

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