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4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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2nd Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly
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4 ways: trig integral ∫tan(x) dx
Sum of Square vs Square of Sum
STPM Math T: trig double angle Express cos(2x) & sin(2x) in terms of tan(x)
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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)
3 ways: trig integral 1/(1+cos(x)) dx
2nd way: ∫e^x/(e^2x + 2e^x +5) dx
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William & Mary Math112: trig integral sin^3(x) cos^2(x) dx
Fill in each blank using either mean or median.
4th/4 ways: integral ∫1/(x + √x) dx
Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?
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3th/4 ways: integral ∫1/(x + √x) dx
2 ways: integral ∫ 1/(x^2 √(1+x^2)) dx
2nd/2parts example Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n
2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3
baki the grappler s1 E8 Tagalog dubbed
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