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2010 Raytheon MATHCOUNTS National Competition
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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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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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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
IIT-1995 2nd way integral ∫x^5/(1+x^3) dx
2nd way: trig integral ∫sin^4(x) dx
#18 2010 MIT Integration Bee Qualifying Exam
integral ∫(2-x)/(1-x) dx
1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)
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AP Calculus 2nd way: trig integral ∫sin(2x)/(2-cos^2(x)) dx
Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx
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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]
1st way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1
AP Calculus 2nd way: trig integral ∫dx/(4-3cos^2(x)+5sin^2(x)) dx
Screen Recording 2024-05-05 at 11.28.23 PM
prob stat: In how many ways can a hand of 4 cards be dealt from an ordinary pack of 52 playing cards