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Mathematics 22 Online
OpenStudy (anonymous):

Find the area of the region bounded by the functions f(x) = x^4 and g(x) = 2 − x^2.

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

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)

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):

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