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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.
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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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2nd way: integral ∫ log √x(x^n) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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trig Write each expression as an equivalent algebraic expression involving only x.
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2024 #3 MIT Integration Bee Final Lightning Round
3 ways: Find 1+2+3+ ... + n^2.
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2nd way: exp integral ∫ dx/x^2014 /(1+1/x^2013)
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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...
logic: tautology (¬p→q)∧(¬p→¬q) →p
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Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx
Purdue U: Evaluate ∫sec^5/2(x) tan(x) dx where x= 0 to pi/3
The number of solutions of the equation x^(log10(x)) = 100x
2 ways: trig integral ∫tan^3(x) sec^2(x) dx
NYU: 3 ways ∫(1+ln(x))/x dx
U Arizona: For each integral decide which of the following is needed:
2nd way: integral 1) ∫1/√(a - √b x^2)dx vs 2) ∫1/√(a - √b x^2) dx
Find the mean of the data given in the freq. distribution below ...