Ax+By+C=0 to x/a + y/b=1

Screen Recording 2024-05-18 at 10.21.39 PM

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

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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logic Idempotent law show x=xVx

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example: Mean, Median & Mode

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Screen Recording 2024-05-18 at 11.12.27 PM

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Which pairs are equivalent via truth table?

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Find f'(x) in terms of g'(x)

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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

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2010 #2 MIT Integration Bee

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Screen Recording 2024-02-21 at 11.48.01 PM

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Screen Recording 2023-12-06 at 3.06.15 AM

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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AP Calculus 2nd way trig ∫sin^3(x)/(cos(x)-1) dx

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Screen Recording 2024-02-22 at 12.00.24 AM

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Find the power set of each of the following sets ...

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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