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Evaluate these 9 integrals containing ...

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Evaluate these 9 integrals containing ...

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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lim x/e^x? as x→∞

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lim x/e^x? as x→∞

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

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

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

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

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Review: Linear form, Quadratic form & Bilinear form

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Review: Linear form, Quadratic form & Bilinear form

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(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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AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx

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AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx

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Calculus: Find nth derivative of log(ax+b)

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Calculus: Find nth derivative of log(ax+b)

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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2010 Raytheon MATHCOUNTS National Competition

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2010 Raytheon MATHCOUNTS National Competition

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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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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 ways: trig integral cos^2(x) sin^2(x) dx

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2 ways: trig integral cos^2(x) sin^2(x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx

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Columbia U: 3rd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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Columbia U: 3rd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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Screen Recording 2024-05-10 at 6.28.27 PM

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Screen Recording 2024-05-10 at 6.28.27 PM

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Screen Recording 2024-05-10 at 7.55.27 PM

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Screen Recording 2024-05-10 at 7.55.27 PM

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