2nd way: integral ∫x/(a-bx^4) dx

1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(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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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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

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

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

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2nd way: integral ∫ log √x(x^n) dx

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UT Austin: trig sq root integral ∫1/(sin(x) + cos(x)) dxsin(√x)/√(x cos^3(√x)) dx

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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"

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Lamar U: Derivatives of Exponential & Log Functions Practice Problems.

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NYU: 2 ways compute log integral ∫ln(x) dx

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1st/3parts: Mean of 1,2,3,...,n SAME as Mean 1,n

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4 ways: exp integral ∫a^(bx+c) dx

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Evaluate these 9 integrals containing ...

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2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)

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Alternate way: Evaluate exp integral ∫1/√(1-e^(2x)) dx

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#19 2011 MIT Integration Bee Qualifying Exam

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