UC Davis #14: trig integral ∫(sin(x)-cos(x))(sin(x)+cos(x))^5 dx

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

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sq root integral ∫1/√...√√x dx with n √

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2nd/3ways: trig integral ∫sec(x) dx

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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

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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: sq root √x^x

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commutative: ab=ba via "picture"

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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

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❤️❤️

Lucky Urbano

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4 ways: Evaluate Σ(2k+1) k=1,20

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Suppose f & g are positive functions. Obtain the product rule for (fg)' by differentiating ...

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

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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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trig Prove each identity ... 1) to 10)

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exp sq root integral ∫(√√ϕ)^x/(π^x) dx

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