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OpenStudy (anonymous):
Find the area of the region bounded by the functions f(x) = x^4 and g(x) = 2 − x^2.
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OpenStudy (anonymous):
i've found the area bounded by the x-axis and f(x) its 3.771123
OpenStudy (anonymous):
would i have to integrate with respect to the y -axis on this one?
OpenStudy (irishboy123):
have you plotted this
can you see the area enclosed by these curves?
OpenStudy (anonymous):
yep iv graphed it, i know what it looks like
OpenStudy (irishboy123):
you are looking for the area bounded by the curves
so you need to know where they meet to establish the limits of integration
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OpenStudy (irishboy123):
you could draw it using the Draw function here
OpenStudy (anonymous):
okay dont know how to draw function but the graphs seem to come together at x =1 and x=-1
OpenStudy (irishboy123):
so firstly integrate the functions within those limits
and see what comes out
OpenStudy (blackstreet23):
It seems you need to use the method of slicing
OpenStudy (anonymous):
which function f(x)or g(x)
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OpenStudy (blackstreet23):
this looks like a disk
OpenStudy (anonymous):
is their a formula to this method ?
OpenStudy (irishboy123):
@blackstreet23
are you deliberately trying to take this of course?
this is a simple integration.
OpenStudy (blackstreet23):
no i just want to help
OpenStudy (welshfella):
|dw:1438814403525:dw|
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