UC Davis: #10 log integral ∫3/(x ln(x)) dx.

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

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

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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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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2nd way: sqrt trig integral ∫1/(√x cos^2(√x)) dx

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2nd way trig integral ∫(1-tan(x))/(1+tan(x)) dx

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2nd way: trig integral ∫ √sec^5(x)/√sin^3(x) dx

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2nd way: log sqr integral ∫ln(x)/x dx

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

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#16 2014 MIT Integration Bee Qualifying Exam

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2nd way: ∫1/(√(1-x^2)(1+arc sin(x))^2) dx

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2nd way: Find dy/dx a)x^y=y^x b)x^y+y^x=(x+y)^(x+y c) (cos(x))^y=(sin(y))^x

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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)

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exp integral ∫ a^x da

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