Mathematics
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OpenStudy (anonymous):
find an expression for the area under the graph of f as limit ( do not evaluate de limits)
f(x)=1+x^4 2<=x<=5
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OpenStudy (anonymous):
integrate wrt to x using limits of 2 and 5
OpenStudy (anonymous):
can u show step by step
OpenStudy (anonymous):
ok, first, you integrate 1, which becomes X.
OpenStudy (anonymous):
then, you integrate x^4 using the power rule
OpenStudy (anonymous):
can you do that?
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OpenStudy (anonymous):
x+x5/5
OpenStudy (anonymous):
x+x^5/5
OpenStudy (anonymous):
noo,, wait.. im doing antidivative,, i dont know
OpenStudy (anonymous):
no, you got it. Ok. So, evaluate at the upper bound, 5, and then the lower bound, 2. then subtract the upper bound from the lower bound.
OpenStudy (anonymous):
ok let me try
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OpenStudy (anonymous):
reverse what I said, you need to subtract the lower bound from the upper bound.
OpenStudy (anonymous):
3
OpenStudy (anonymous):
i havent evaluated it yet, lemme try
OpenStudy (anonymous):
wait... i subtract the lower from upper 5-2 =3
OpenStudy (anonymous):
:(
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OpenStudy (anonymous):
no, you have an integrated expression which needs to be evaluated...
So, X+x^5/5----plug in 5 for x
then plug in 2 for x and subtract your answers
OpenStudy (anonymous):
ohhhh
OpenStudy (anonymous):
i have the answer figured, and I'll check yours for you when you get it.
OpenStudy (anonymous):
583
OpenStudy (anonymous):
?
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OpenStudy (anonymous):
um, not what I got.
OpenStudy (anonymous):
i pluged 2 in
2+2^5/5
5+5^5/5
OpenStudy (anonymous):
so
2+32/5=42
OpenStudy (anonymous):
evaluated at your upper bound you should have 630. Your lower bound should be 42/5. Subtracting the two should give you 621.6.
OpenStudy (anonymous):
2+32/5=42/5
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OpenStudy (anonymous):
yeaa
OpenStudy (anonymous):
=D you got tripped up on the arithmetic. But you know how to integrate, and that's important.
OpenStudy (anonymous):
jajajaajjaja
OpenStudy (anonymous):
627-8.4=618.6
OpenStudy (anonymous):
??
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OpenStudy (anonymous):
:)
OpenStudy (anonymous):
upper bound should be 630.
OpenStudy (anonymous):
630-8.4=Correct
OpenStudy (anonymous):
wow,,, no that bad in aritmetic
lol
OpenStudy (anonymous):
calculator..:)
ok what shoul i do after?
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OpenStudy (anonymous):
thats it hot rod. Done. You just figured out the area under a curve.
OpenStudy (anonymous):
noww
need to estimate de distance using L and R
OpenStudy (anonymous):
? huh?
OpenStudy (anonymous):
wait.. i have to checp to here i am ok
OpenStudy (anonymous):
oh, crap wait.... you weren't supposed to evaluate at the limits were you?