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#17 2010 MIT Integration Bee Qualifying Exam
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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Find the number of permutations of the letters of the word ALLAHABAD
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3rd/3ways: exp Derivative x^x
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UC Davis: differentiate y=ln(cos^5(3x^4))
2nd way: derivative x w.r.t x^x. [YES, d(x)/d(x^x)!]
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SUPER 2 WINS CHAMPION at Danao Arena Fight #1
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2nd/2parts example Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n
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AP Calculus: integral ∫ln(a+bx^2) dx
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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx
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Bijection of elements in tn & a pair of elements of (n+1)