The discussion revolves around evaluating the integral of sqrt(x) * ln(x) from 1 to 5 using integration by parts. Participants are exploring the setup and calculations involved in this integral.
Some participants have provided guidance on the integration process and have checked each other's work. There is an ongoing exploration of the calculations, with some expressing uncertainty about the final numerical results.
There is mention of specific limits for the integral, and participants are attempting to verify their computations against expected outcomes. The discussion reflects a collaborative effort to clarify the steps involved in the integration process.
rock.freak667 said:Not sure how you reached that answer but did you use
u=lnx and dv=x1/2 dx ?
intelli said:so is this right
du = 1/x dx
v = 3/2x^3/2
and plug into the parts formula?
rock.freak667 said:v=2/3 x3/2
check that back.
then yes put that into the formula.
intelli said:yes so i get this is this right after integrating
2/3 x^3/2 ln x (between limits 1 to 5 ) - 4/9 x^3/2 (between limits 1 to 5) and
i get 9.602