3 ways: sq root ∫√(1-x) dx

2nd way: derivative (x^x)√ x

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

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2nd way: derivative (x^x)^x

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

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

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

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Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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Screen Recording 2024-05-11 at 9.05.02 PM

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1st/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)

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2 ways: exp derivative a^(logb(cos(px+q))

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#Screen Recording 2024-05-13 at 10.52.38 PM

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NEW ANIME (COMING SOON)

HINDI FAN & OFFICIAL

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prob stat: For the sample shown in the freq distribution table, what is the mode?

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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3

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demon slayer

(ROMAN)

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2nd way: derivative ∫log (f(x))^g(x) (p(x))^r(x)

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Find the expected value & the variance of a geometric r.v. X

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Screen Recording 2024-05-11 at 8.58.53 PM

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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