2nd/3ways: exp Derivative x^x

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

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1st/2ways: r-Permutations

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Bijection of elements in tn & a pair of elements of (n+1)

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

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integral ∫√(x-a)/x dx

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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William & Mary Math 112: trig integral x cos(3x) dx

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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William & Mary Math112: trig integral sin^3(x) cos^2(x) dx

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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2nd way: derivative x^n w.r.t. n^x

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inverse trig Derivative arc sin(x)

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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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prob stat: A population of N=10 scores has a mean of 30.

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Rutgers U: 2nd way compute ∫√(x^2 -2)/x dx

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4th way: (e^x -1)/(e^x+1) dx

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2nd way: exp integral ∫e^(1/x)/x^2 dx

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