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2010 #2 MIT Integration Bee
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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Review: Linear form, Quadratic form & Bilinear form
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lim x/e^x? as x→∞
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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integral ∫ x dx withOUT using Power rule.
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Find the expected value & the variance of a geometric r.v. X
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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n
stat: SLR Properties of residuals
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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5
trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula
example: Mean, Median & Mode
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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx
Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4
MATEMATIK F5 TRIGONOMETRY
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If y=a e^(mx) + b e^(-mx), show that y2=m^2y
Rutgers U: Verify using calculus
Find the number of permutations of the letters of the word ALLAHABAD
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