Screen Recording 2024-05-10 at 7.55.27 PM

prob stat: 1st/2 parts. One sample has a mean of M=6 &

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(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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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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Review: Linear form, Quadratic form & Bilinear form

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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exp Calculate ∫x^3 3^x dx via IBP

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Screen Recording 2024-05-18 at 12.32.05 AM

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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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3 ways: Find 1+2+3+ ... + n^2.

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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2024 MIT Integration Bee Final

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Rutgers U: Verify using calculus

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

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

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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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U Penn: Show that the following decomposition CANNOT hold ...

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