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#2 2011 MIT Integration Bee Qualifying Exam
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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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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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logic Idempotent law show x=xVx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...
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Variability or spread of a distribution. Whey we need it!
prob stat: 1st/2 parts. One sample has a mean of M=6 &
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What does SS tell us about a set of data? Under what circumstances will the value of SS equal 0?
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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...
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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.
3 ways: derivative log(x+ (1+√(x^2)))
Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub