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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...
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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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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)
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Which of the following data sets has a median of 3?
doneScreen Recording 2024-05-18 at 10.25.20 PM
2nd way: log sqr integral ∫ln(x)/x dx
1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]
2nd/2parts example Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n
2 ways: integral x√(x-5) dx
prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.
exp Evaluate these 4 integrals containing e^x ...
#Screen Recording 2024-05-13 at 10.52.38 PM
MIT Integration Bee Qual. Exam #1: integral x^(1/log(x)) dx
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2nd way:exp sq rt integral ∫1/( √x e^(a√x -b)) dx
prob stat: The following frequency table gives the values obtained