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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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

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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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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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The prob. density function of a r.v X is given by the formula

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integral ((cos(x)-cos^2(x))/(1-cos^3(x)))

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

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#13 2011 MIT Integration Bee Qualifying Exam

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Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx

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2nd way: derivative y^2=4a(x+a sin(x/a))

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MPPET 1993 BIT Ranchi 1982 Hindusta: trig integral ∫ (1+cos^2(x)/sin^2(x) dx

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#13 2019 MIT Integration Bee Final

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#17 2010 MIT Integration Bee Qualifying Exam

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Purdue U: trig integral ∫tan^3(x) sec^2(x) dx =? where x=0 to pi/4

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Show ∫f'(ax+b) dx = f(ax+b)/a + C

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#11 2019 MIT Integration Bee Final

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2nd way: Evaluate integral ∫x^2/√(19-x^2) dx

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