#13 2010 MIT Integration Bee Qualifying Exam

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

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

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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

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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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UC Davis #6 integral e^x(1+2e^x)^4 dx

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Screen Recording 2024-05-18 at 10.21.39 PM

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Screen Recording 2024-05-05 at 11.28.23 PM

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3 ways: exp integral ∫ln(e^x) + ln(e^(-x)) 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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#12 UC Davis: Find the length of the graph for x=ln(y)=y^2/8 on the closed interval ...

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Rutgers U: Verify using calculus

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2nd way: exp integral ∫e^(1/x)/x^2 dx

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NYU: 2 ways integral ∫(x^2 + 2x +1) dx

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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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NYU: compute ∫ln(x)/x^2 dx

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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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