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4th way: rational function integral ∫x^3/√ (1+x^2) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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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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1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture
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Pantun Melayu [Buah cempedak di luar pagar]
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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.
prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point
2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx
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Which of the following statements are true, & why?
Fill in each blank using either mean or median.
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derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0
2nd/2ways: Taylor series of sin(x) [Maclaurin's series]
derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y
2nd/2ways: r-Permutations
2nd way: integral ∫1/(a + √√b (x^2)) dx
Why the mean of AP is the median of AP? mean=median?
prob stat: A group consists of 4 girls & 7 boys. In how many ways can a team of 5 members ...
trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula