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[Course] Alex Myatt - Copy Career Accelerator
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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2nd way: integral ∫ log √x(x^n) 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
#19 2011 MIT Integration Bee Qualifying Exam
#3 2010 MIT Integration Bee Qualifying Exam
UC Davis: #10 log integral ∫3/(x ln(x)) dx.
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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 ∫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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#16 2014 MIT Integration Bee Qualifying Exam
#6 2014 MIT Integration Bee Qualifying Exam
#17 2011 MIT Integration Bee Qualifying Exam
2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx
Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
derivative Find d2y/dx2 for this function y=ln(x)/(1-x)
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