I dont understand how to deal with infinite limits. thanks
∫a∞f(x)dx:=b→∞lim∫abf(x)dx
The := means defined as. You'd cover this in FP1 and FP3. You probably haven't been taught what a limit is or how to deal with them, but use the intuitive notion of b becoming infinitely large.
Consider first doing the Integral and you would get a result of
∫2∞{x256dx=[x23−4]2∞
Now, for the infinite integral, replace it with some variable, for example ′t′ for the meantime and then plug in both values to give f(b)−f(a). Now consider taking t as limt→∞. So that as t tends to infinity, f(t) from before would get smaller and smaller so you can consider it as being zero. Therefore you would be left with your result of f(a) as your final answer.
hmmm i don't understand any of this xD but i'd like to understand :/
What happens to x1 as x gets really, really, really big? If you're not sure, keep plugging bigger numbers into your calculator, what value does it approach?
What happens to x1 as x gets really, really, really big? If you're not sure, keep plugging bigger numbers into your calculator, what value does it approach?
I dont understand how to deal with infinite limits. thanks
If you just integrate normally, and let X = infinite. Then when you come to your final answer with x's in it. You can take limits. So for example 2/X, as x turns to infitnite, 2/x =0.