2 ways: exp log integral ∫3^(log81(x)) dx

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

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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)

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

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

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2nd/3ways: trig integral ∫sec(x) dx

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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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lim x/e^x? as x→∞

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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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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1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]

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2nd way: derivative (x^2+1)^sin(x)

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2nd way: trig integral ∫x sin(x) sec^3(x) dx

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NYU: 2nd way compute integral ∫x(1+x^2) dx

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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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2nd way: derivative (x/a)^n/(n-1) + (y/b)^n/(n-1) = 1

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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

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