Fun Simpson's rule question (1 Viewer)

[RyddeckerSMP]

Using simpson's rule, find the volume of the solid formed between x=0 to x=3 of y=In (x). Enjoy!

 

[m_isk]

how many function values are we required to use?? ANyway, when you find out, draw out a table of values with x and y. Remembering that Volume = pi*Integral(y^2)dx, you should use simpsons rule to find out the primitive of (lnx)^2....if u dont get it jst tell me and ill post up the solution...hopefuly wont haf to. cant b bothered

 

[mojako]

if y=ln(x) and its rotated about x-axis:

Install Maple
Open it
Type:
VOLUME:=evalf(pi*value((simpson((log(x))^2, x=1*10^(-99)..3, 10000)))) ;

and it'll find the volume using Simpson rule, which is what u asked.

(edited to make the initial x value smaller and to fix up the command)

 

[Slidey]

Antilogarithms can't be non-positive.

 

[JamiL]

that is a 2u question... u wont see that in a 3u exam i wouldn think... not sure it is a simple (maby Q5-7 in 2u) 2u question

 

[mojako]

assuming y=In(x) refers to y=ln(x),
u wont see this in 2U exam either
ln(x) is not defined at x=0

if y=In(x) refers to y=integral of x dx
then it can be in 2U