strong coral
I am confused as to why I got this as an answer. I got this far, and I'm not sure if I did anything wrong. I understand that I need to re evaluate the boundaries after substituting U, but it shouldn't matter after I plugged the original equation back in.
placid spindleBOT
strong coral
turbid ledge
,align&\int_{0}^{1}\sqrt{1+\left(\frac{d}{dx}\frac{2}{3}x^{\frac{3}{2}}\right)^{2}}dx
\=&\int_{0}^{1}\sqrt{1+\left(x^{\frac{1}{2}}\right)^{2}}dx
\=&\int_{0}^{1}\sqrt{1+x}dx
\=&\frac{2}{3}\left(1+1\right)^{\frac{3}{2}}-\frac{2}{3}\left(1+0\right)^{\frac{3}{2}}
\=&\frac{4\sqrt{2}-2}{3}
limpid larkBOT
mtt
turbid ledge
you shouldnt deviate from these steps here
turbid ledge
what you wrote here does not mean what you think it means
turbid ledge
I am confused as to why I got this as an answer. I got this far, and I'm not su...
same thing here, since "plugging the original equation back in" does not say where or when you did it, there are multiple correct places in the work where this can be done
therefore you havent showed or explained any work of what youve actually done
strong coral
I understand everything except this part.
turbid ledge
the integral of sqrt(x) is 2/3 x^(3/2)
so the integral of sqrt(x+1) is 2/3 (x+1)^(3/2)
strong coral
I understand everything except this part.
I know how we get there, I just can't wrap my head around how to solve this specifically.
Like at all.
turbid ledge
I know how we get there, I just can't wrap my head around how to solve this spec...
do you mean the step to get there, or how to simplify that?
you need to screenshot two lines at a time to show which step youre stuck on
strong coral
How to simplify it.
turbid ledge
so where did you get this from?
strong coral
so where did you get this from?
Ended up using an online calculator because of the due date, but been trying to figure out how to get it.
I got all the steps to get to the final part.
Is the simplification part that messes me up.
strong coral
I understand everything except this part.
Especifically this one.
turbid ledge
dont make up words like especifically please
doing this step by step,
what would be simplified first
turbid ledge
thats not correct
strong coral
Well -2/3
turbid ledge
then what can you simplify next
strong coral
I can factor out the 2/3.
strong coral
Then do the inside of 1+1=2.
turbid ledge
that 3/2 there is an improper fraction
the next step youd do here is this:
now do you see a way to go from here?
strong coral
Yeah makes sense now. Just need to separate the 2 because I can write it as 2^1*2^1/2.
End up with 2*2^1/2 (or square root)-1, and distribute the 2/3 to everything.
turbid ledge
correct
strong coral
Alright thanks a lot, it makes more sense now. Didn't knew that you could just separate improper fractions like that.
turbid ledge
np
strong coral
.solved
