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Algebraic!Best ResponseYou've already chosen the best response.0
did you sketch the region?
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.0
you're not sure how to sketch x^3 ?
 one year ago

d92292Best ResponseYou've already chosen the best response.0
no i mean i sketched it, i dont know what to do after
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.0
say, for example, you're asking about the area enclosed for positive values of x..: dw:1355190249043:dw
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.0
you can see that it's the area under the line x (from 0 to 1) minus the area under x^3 (from 0 to 1)
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.0
aka:\[\int\limits_{0}^{1} xx ^{3} dx\]
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.0
can you evaluate that integral?
 one year ago

d92292Best ResponseYou've already chosen the best response.0
and then how do we find the anti derivitve of that hat
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.0
the usual way:\[\int\limits_{ }^{ } x^n dx = \frac{ x^{n+1} }{ n+1 }\]
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.0
so for \[\int\limits_{ }^{} x^1 dx\] \[\int\limits_{ }^{} x^1 dx = \frac{ x^{1+1} }{ 1+1}\]
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.0
so \[\frac{ x^2 }{ 2 } \frac{ x^4 }{4 } \]
 one year ago

Algebraic!Best ResponseYou've already chosen the best response.0
for the region on the interval x =0...+inf ( 1/2 1/4 )  (0/2 0/4)
 one year ago
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