exp integral ∫x^2 e^(-2) dx

Sum of Square vs Square of Sum

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

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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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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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

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

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2 ways: trig integral ∫tan^3(x) sec^2(x) dx

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

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#8 2022 MIT Integration Bee Qualifying Exam

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exp Evaluate these 4 integrals containing e^x ...

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Find the power set of each of the following sets ...

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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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Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

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#20 2022 MIT Integration Bee Qualifying Exam

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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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2nd/2 ways: #12 2024 MIT Integration Bee Qualifying Exam

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Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4

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

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