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Evaluate the integrals
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Pantun Melayu [Buah cempedak di luar pagar]
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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Pantun Melayu [Sorong papan tarik papan]
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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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2 ways: derivative x √√x
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2nd/2ways: Taylor series of cos(x)
2nd way: derivative x^n w.r.t x^x
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1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture
integrate ∫e^x (1+sin(x))/(1+cos(x)) dx
Evaluate trig integral ∫1/(a+bcos^2(x)) dx
rational function integrate ∫x^2/(x^6+a^6) dx
Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx
UC Davis: #6 exp integral ∫e^x(1+2e^x)^4 dx
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Local dogs enter the city
Zero overflow event