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

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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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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Review: Linear form, Quadratic form & Bilinear form

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Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)

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

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sum: Find a close formula for 2,3,14,24,37,...

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2nd/3part: Maclaurin Series [ahp kia]

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1st/2 parts: Inverse 2x2 matrix

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

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Calculus: Find nth derivative of log(ax+b)

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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derivative y=f(logb(arc tan(px+q))

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Rutgers U: compute log integral ∫x^2 (ln(x))^2 dx

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Rutgers U: Verify using calculus

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