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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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integral ∫logb(√x) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
Common log mistake: logb(xy^n) ≠ nlogb(xy)
3 ways: Find 1+2+3+ ... + n^2.
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prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point
Calculus: Find nth derivative of log(ax+b)
UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
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Doubly triangular number
Show Σa=na where k=1 to n
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3 ways: rational function integral ∫2x/(x+1)^2 dx
Solve √(2x-5) -√(x-2) = 2
1st/10 parts: Logical disjunction
2nd/4ways: trig derivative sin(x)
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2 ways: trig integral ∫sin(√x) dx
trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(a^2+b sin^2(x)) dx
Quickie: In music, there is circle of 5ths ... In calculus, there is circle ...