2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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

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Evaluate these 9 integrals containing ...

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

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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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Evaluate these 7 integrals ...

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Screen Recording 2024-05-11 at 9.05.02 PM

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Screen Recording 2024-05-19 at 9.56.54 PM

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2010 Raytheon MATHCOUNTS National Competition

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

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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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Rutgers U: compute log integral ∫x^2 (ln(x))^2 dx

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2 ways: integral ∫ (4t+7) dt

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Screen Recording 2024-05-05 at 11.28.23 PM

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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