UC Davis: #10 log integral ∫3/(x ln(x)) dx.

If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2

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

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count quick review: Permutation vs Combination

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Review: Linear form, Quadratic form & Bilinear form

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lim x/e^x? as x→∞

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Screen Recording 2023-12-30 at 9.34.01 PM

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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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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1

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Columbia U: 2nd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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#10 2023 MIT Integration Bee Qualifying Exam

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx

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UC Davis: integrate sin(x)/(1+sin(x)) dx

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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

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Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx

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