Lamar U: trig integral ∫tan^12(x) sec^6(x) dx

Screen Recording 2024-05-18 at 10.21.39 PM

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count quick review: Permutation vs Combination

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

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Pantun Melayu [Buah cempedak di luar pagar]

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

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2nd way: integral ∫ log √x(x^n) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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2nd/3 ways: How many chords can be drawn through 21 points on a circle?

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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Example: Find the sum

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Screen Recording 2024-05-18 at 11.12.27 PM

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2 ways: integral ∫(x-a)/(x+a) dx

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derivative y=f(logb(arc tan(px+q))

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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2

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Screen Recording 2024-05-11 at 8.58.53 PM

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OSU Math 1151 Practice4: Compute the derivative

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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