Rutgers U: compute log integral ∫x^2 (ln(x))^2 dx

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

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

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

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Swinburne U 2nd way: e^(-e^x) e^x dx

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2nd/3ways: trig integral ∫sec(x) dx

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Pantun Melayu [Sorong papan tarik papan]

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logic Idempotent law show x=xVx

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

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

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

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Which pairs are equivalent via truth table?

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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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2 ways: Find logarithm of 5 to the base 5 √5.

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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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#3 2010 MIT Integration Bee Qualifying Exam

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sum picture proof show 1^2+2^2+3^2+...+n^n=1/3 1/2n(1+n) (2n+1)

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