prob stat: An ordinary die is thrown. Find the prob. that the number obtained is

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

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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logic Idempotent law show x=xVx

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2nd/3ways: trig integral ∫sec(x) dx

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integral ∫ x dx withOUT using Power rule.

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

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logic How can we check our Boolean simplification is done correctly?

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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Compute the arithmetic mean for the following grouped data ...

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exp integral ∫10^x e^(10x) dx

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UC Davis #3 2nd way: ∫(2-x)/(x^2+5x)dx [integration by partial fraction]

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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula

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logic: Simplify the Boolean function F=AB+(AC)'+AB'C(AB+C)

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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Variability or spread of a distribution. Whey we need it!

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#3 2024 MIT Integration Bee Qualifying Exam

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2nd way: 1) ∫1/(a + √b x^2) dx vs 2) ∫1/(a + √b x^2) dx

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AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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