Screen Recording 2024-05-19 at 11.13.23 PM

Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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

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logic Idempotent law show x=xVx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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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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Swinburne U 2nd way: e^(-e^x) e^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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Review: Linear form, Quadratic form & Bilinear form

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

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derivative (f(x)/g(x))^h(x)

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heart stealing contract

Marie Mallari_0630

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logic Show by truth table x∧(x→y)→y is Tautology

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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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prob stat: The following frequency table gives the values obtained

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Home grown organic vegetables

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2nd way: ∫1/(√(x-α)(x-β)) dx

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

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