1st/2 ways: MIT Integration Bee

A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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

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

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2nd way: derivative (x^x)^x

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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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#8 2021 MIT Integration Bee Qualifying Exam

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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?

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Show ∫1/(a+btan(x)) dx = ...

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2nd way: integral tan(x)/(1+tan(x)) dx

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#9 2010 MIT Integration Bee Qualifying Exam

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#19 2011 MIT Integration Bee Qualifying Exam

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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exp integral ∫1/(e^(2x) - 25) dx

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stat: SLR Properties of residuals

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