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

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Screen Recording 2024-05-18 at 10.21.39 PM

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Screen Recording 2024-05-18 at 10.21.39 PM

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2nd way: integral ∫ log √x(x^n) dx

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2nd way: integral ∫ log √x(x^n) 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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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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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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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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

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

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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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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.

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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.

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JHU: integral ∫t^3 e^(t^2) dt

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JHU: integral ∫t^3 e^(t^2) dt

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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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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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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9

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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9

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

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

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Evaluate these 9 integrals containing ...

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Evaluate these 9 integrals containing ...

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx

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U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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