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2024 MIT Integration Bee Final
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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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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Given events J & K:
If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...
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example: Mean, Median & Mode
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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx
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Compute the arithmetic mean for the following grouped data ...
derivative Find d2y/dx2 for this function y=ln(x)/(1-x)
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Screen Recording 2024-02-16 at 8.23.14 PM
2024 #3 MIT Integration Bee Final Lightning Round
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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?
Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.
Express the sum of the digits of the number (1000^20 - 20) in decimal notation
Simplify the following statements using only the connectives ∧, ∨ and ¬
NYU: compute integral ∫√(1+ √x) dx
Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx