#Hi i need help with solving this integral question let me know if you can help!
shut bison
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raw temple
need help setting up the integral or evaluating it ?
shut bison
just setting it up
shut bison
what do i do with the x axis though? i didnt take that into account when i did it on my test and i got it wrong
raw temple
oh is this like shell method ?
like its rotating around the x axis ?
the question doesnt state that so i thought it was just asking the area between two functions
shut bison
it is asking for the area but theres three functions, i dont know what shell theory is tho
raw temple
shell method is when you are looking for the area of a 3 dimensional object and turn it into small cylinders
im going to assume its not the shell method as you dont know what it is so i doubt your teacher would quiz you over something you didnt study in class
shut bison
yeah she wouldnt, do you know how to set it up then?\
shut bison
yes i do
raw temple
ok so we are given two functions f(x) and g(x) do you know which one of these is the top function and which one is the bottom function ?
shut bison
well it changes because they intersect at 2
raw temple
correct
so we want to integrate it in two different integrals
sorry i just wrote it out since i need to go somewhere
if you have any questions send a message ill be on my phone
shut bison
i swear i wrote that on my test and it was wrong
raw temple
If you did your teacher might have made a mistake maybe ask him ?
If not then it has to be the shell method and they want us to rotate around the x-axis
mystic gull
Please don't provide the whole answer.
Also, I don't think that's the region they meant. It doesn't touch y = 0.
shut bison
when i put all the lines on desmos it looks like it would be two integrals one with g(x) is ontop and the second integral f(x) on top, both using the x-axis as the bottom function
is that right
mystic gull
when i put all the lines on desmos it looks like it would be two integrals one w...
Yes, that would be correct.
And since the function is bounded below by the x-axis, what would be the expression of the bottom function?
shut bison
y=0
mystic gull
Right! So, now try writing the expression for the area.
shut bison
is that right?
mystic gull
is that right?
Yeah. Though, two comments:
- Of course, you can just not write the zero.
- If you have several terms under an integral, it's better to enclose them in brackets.
shut bison
okok so no zero, but what do you mean several terms, like put the x^2 in brackets?
mystic gull
okok so no zero, but what do you mean several terms, like put the x^2 in bracket...
I mean like this.
shut bison
ohhhh so put brackets around all the terms ok thanks this was very helpful
mystic gull
ohhhh so put brackets around all the terms ok thanks this was very helpful
Yeah, just so that you know that the whole expression is under the integral.
You're welcome!
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@shut bison