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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx
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2nd way: integral ∫ log √x(x^n) 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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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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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
2nd/3 ways: How many chords can be drawn through 21 points on a circle?
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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx
multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
2nd way: trig integral ∫sec^(3/2)(x) tan^3(x) dx
Lamar U 2nd way: evaluate trig log sq rt integral ∫sin(1+ln(2x))-√(1+ln(2x))/x dx
#16 2014 MIT Integration Bee Qualifying Exam
1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)
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#17 2011 MIT Integration Bee Qualifying Exam
#18 2010 MIT Integration Bee Qualifying Exam
2nd way: trig integral ∫sin^4(x) dx
Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5
#14 2011 MIT Integration Bee Qualifying Exam
2nd way: integral ∫x^(n-1) sin(x^n) dx