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

Sum of Square vs Square of Sum

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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Fill in each blank using either mean or median.

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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#7 2020 MIT Integration Bee Quali Exam: sin^4(x) cos^4(x) (cos(x)+sin(x))(cos(x)-sin(x)) dx

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#5 2020 MIT Integration Bee Quali Exam: integral 1/(x^2+(x-1)^2) dx

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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#3 2021 MIT Bee Qualifier integral (3x+4)/(x^2+4x) dx

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example Find 1+2+3+...+n via Pick's Theorem

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Find the area via Pick's Theorem

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4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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4th/4 ways: integral ∫1/(x + √x) dx

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3th/4 ways: integral ∫1/(x + √x) dx

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2nd way: integral ∫log(x^p x^(-q)) (x) dx

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exp derivative e^f(g(x)) h(x)

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Screen Recording 2023-11-24 at 12.00.30 AM

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A New Legend of the Dragon Raising Its Head

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There are some jobs you should never take.

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