3ways: Find a formula for the sum 2+4+6+...+2n

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

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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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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(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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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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lim x/e^x? as x→∞

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EP1 Tsuishoku (Sub Indonesia) 720p

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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Alternate way: log integral ∫1/(x+xln(2x))

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integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx

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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx

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