UC Davis: #7 trig log integral sin(ln(x))/x dx

5 ways: integral ∫a^(px+q) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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2nd way: derivative (x^x)^x

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

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2 ways: sq root derivative 1/(√√(1/√x))

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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

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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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

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2nd way: integral ∫log n√(ax+b)(ax+b) dxx

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

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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2 ways: integral ∫ (4t+7) dt

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#1 2019 MIT Integration Bee Final

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integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx

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prob stat: To obtain Grade A, Ben must achieve an average of at least 70 in 5 tests.

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JHU: sq root integral ∫e^√x dx

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2nd way: integral ∫p^(nx) q^x dx

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NDA-2004 2nd way integral ∫(x-x^3)^1/3/x^4 dx

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