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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(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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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"
2 ways: integral ∫(a^2-x^2) dx
picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n
prob stat: The following frequency table gives the values obtained
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Review: Multiplying each obs. by a CONSTANT results in new variance =
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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.
derivative Find d2y/dx2 for this function y=ln(x)/(1-x)
Show ∫1/(a+btan(x)) dx = ...
Calculus: Find nth derivative of log(ax+b)
#10 2023 MIT Integration Bee Qualifying Exam
Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?
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Home organic vegetables
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2010 Raytheon MATHCOUNTS National Competition
#8 2021 MIT Integration Bee Qualifying Exam
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