exp integral ∫1/(e^(ax+b) (1+e^(ax+b)) dx

2 ways: derivative (ax+b)^n

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logic Idempotent law show x=xVx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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2nd way: integral ∫ log √x(x^n) dx

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

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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

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stat: SLR Properties of residuals

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#16 MIT 2022 Integration Bee Qualifying Exam

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1st/2ways: Taylor series of cos(x)

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5th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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2nd/2ways: [k map] logic Simplify the Boolean function F=AB+BC+B'C

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derivative y=a^(arc sin(x))^2

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Show log b^n(x^m) = m/n logb(x)

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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

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trig integral ∫sin(2x) cos(2x) / (9-cos^4(2x)) dx

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trig derivative differentiate x^x - 2^sin(x)

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2 ways: Find the derivative y=x^n logb(x)

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Median [special weighted mean]

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Which of the following data sets has a median of 3?

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