prob stat: Find the expected value & std deviation in the number of '6's when 20 dice are rolled.

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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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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2024 #3 MIT Integration Bee Final Lightning Round

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UC Davis: differentiate y=2^cot(x)

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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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AP Calculus 2nd way: trig integral ∫sec(2x)/(sec(x) csc(x) dx

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Find the mean of the data given in the freq. distribution below ...

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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Prove that the following inner [scalar] product ...

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Fill in each blank using either mean or median.

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2 ways: exp derivative a^(logb(cos(px+q))

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AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]

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example: Mean, Median & Mode

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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#9 2023 MIT Integration Bee Qualifying Exam

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