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Forwarded from Jason (5 Radium)
Jason (5 Radium)
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pls do this only after finishing 5 2026 trial soalan
Forwarded from Jason (5 Radium)
this 2 usually come out with a lot of marks...sangat penting...and usually in bhgn B pilihan.. if you dont like integration the area/volume questions takpe...atleast try to do the normal questions...
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Forwarded from Jason (5 Radium)
Jason (5 Radium)
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do until number 8 for those who really dont want to do the area/volume questions..
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Jason (5 Radium)
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skip question 5, as f(x) has a vertical asymptote at x = sqrt of 3, so the integral diverges.
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Forwarded from Lim Kevin
just so you know that's not really the reason the integral diverges, we can easily find a function that has vertical asymptode with a convergent improper integral
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Forwarded from Lim Kevin
consider f(x) = 1/sqrt(x) and integrate f(x) from 0 to 1
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Forwarded from Lim Kevin
kinda hard to explain without some formalities, but basically it's because it's the graph growing too quickly in the y-direction compared to its shrinkage towards its vertical asymptode
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Forwarded from Lim Kevin
it's like a width vs height race in the area below the curve basically
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Forwarded from Lim Kevin
if height grows quick but the width doesn't shrink as much, then it diverges
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Forwarded from Lim Kevin
again, very informally
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Countdown SPM:
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Forwarded from Jason (5 Radium)
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Countdown SPM:
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Forwarded from Jason (5 Radium)
when intergrating, calculator shows math error doesnt mean always ur answer is undefined or smth...the function (integrand) is undefined, discontinuous, or has an asymptote/division by zero at one of the limits or somewhere inside the interval. means, so thats why we have different methods to solve integrals, power rule is the most basic one, and it doesnt work for 1/x and so so many functions.. we learn probably like 1 percent of calculus.
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