UC Davis #14: integral ∫x √(4-x) dx

1st/3part: Maclaurin Series [ahp kia]

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

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2nd/3ways: trig integral ∫sec(x) dx

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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trig Write each expression as an equivalent algebraic expression involving only 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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GPT4: A tweet snippet from Michal Kosinski

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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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2 ways: diff eq Solve dy/dx=y-1

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Prove the slope-intercept formula by using the slope formula for the line that has slope m, ...

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I.B.P Derivation [Integration By Parts]

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

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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2nd way: rational function integral ∫x^3/√ (1+x^2) dx

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Solve cos^2(x) dy/dx +y = tan(x) via Integrating factor[IF]

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sq root derivative √x [Good to know the result]

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