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d92292
Group Title
find the area enclosed between the curve y=x^3 and the line y=x
 one year ago
 one year ago
d92292 Group Title
find the area enclosed between the curve y=x^3 and the line y=x
 one year ago
 one year ago

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

d92292 Group TitleBest ResponseYou've already chosen the best response.0
im not sure on how to
 one year ago

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

d92292 Group TitleBest 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! Group TitleBest 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! Group TitleBest 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! Group TitleBest ResponseYou've already chosen the best response.0
aka:\[\int\limits_{0}^{1} xx ^{3} dx\]
 one year ago

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

d92292 Group TitleBest ResponseYou've already chosen the best response.0
and then how do we find the anti derivitve of that hat
 one year ago

Algebraic! Group TitleBest 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! Group TitleBest 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! Group TitleBest ResponseYou've already chosen the best response.0
try it for x^3...
 one year ago

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

d92292 Group TitleBest ResponseYou've already chosen the best response.0
and whats next?
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
plug in the limts
 one year ago

Algebraic! Group TitleBest 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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