logic Idempotent law show x=xVx

derivative (f(x)/g(x))^h(x)

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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1st/2 ways: Show 1+3+5+ ... +(2n-1) + (2n+1) + (2n-1)+...+5+3+1= n^2 + (n+1)^2

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2nd way: 1) ∫1/(a + √b x^2) dx vs 2) ∫1/(a + √b x^2) dx

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2 ways: integral ∫x√(1-x) dx

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1st way: lim ((1+h)^3-1)/h? as h→0

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commutative: ab=ba via "picture"

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If nC9=nC8, find nC17.

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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?

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1st/3part: Maclaurin Series [ahp kia]

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MIT Integration Bee Quali Exam 2023 #6 integral ∫x+sin(x) +x cos(x)+sin(x)cos(x) dx

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Fill in each blank using either mean or median.

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

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How many words, with or withOUT meaning, each of 3 vowels & 2 consonents ...

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prob stat: We begin with a sample of n=5 scores with ∑x=35 & M=7. ...

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logic: Simplify the Boolean function F=AB+BC+B'C

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