integration bee 2014 UNSW integral (x^2+3)/(x^2-3) dxx

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Grace.amanda

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2nd way: integral ∫ log √x(x^n) dx

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

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

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Daily Verse. Genesis 30:37-39

Joseph Labadan

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UC Davis: #10 log integral ∫3/(x ln(x)) dx.

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#19 2011 MIT Integration Bee Qualifying Exam

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#6 2014 MIT Integration Bee Qualifying Exam

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#17 2011 MIT Integration Bee Qualifying Exam

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2nd way: ∫1/(√x cos(√x)) dx

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#3 2010 MIT Integration Bee Qualifying Exam

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx

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#16 2014 MIT Integration Bee Qualifying Exam

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derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0

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2nd way: integral ∫e^(x/2)/(1+e^x) dx

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

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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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UC Davis: #7 trig log integral sin(ln(x))/x dx

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#17 2010 MIT Integration Bee Qualifying Exam

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