Use an appropriate method to evaluate each of the following indefinite integrals: A) the intergral of t^2 square root t^3 -1dt B) the intergral of square root (x)lnx dx PLEASE HELP Use an appropriate method to evaluate each of the following indefinite integrals: A) the intergral of t^2 square root t^3 -1dt B) the intergral of square root (x)lnx dx PLEASE HELP @Mathematics
For B set u=lnx and v=x^1/2 then use that substitution formula thing? I can't remember it...
sorry I can't be much help here.
Can someone please show the work out because I am just having problem on these few hw problems it will be of much help to me
[-t^2/sqr root of 6( (t^3-1)^(1/2)) - t/6(sqrt(t^3-1)^5) - 5 / 8sqrt ((t^3-1)^7) + c]
\[\int \sqrt{x}\ ln(x)\ dx\] \[\int\ (x)^{1/2}\ ln(x)\ dx\] \[=\frac{2x^{3/2}\ ln(x)}{3}-\int\ \frac{2x^{3/2}}{3x}\ \ dx\] \[=\frac{2x^{3/2}\ ln(x)}{3}-\frac{2}{3}\int\ x^{1/2}\ \ dx\]
someone please check i know its wrong
i assume you can work it from there? :)
\[\int t\sqrt{t^3-1}dt\] this is the same process, you appear to be working on integration by parts
the t goes down as you integrate up the sqrt part
but the t^3 might prove tricky
you sure that aint typoed?
I must us integration by parts
*use
if we use the sqrt part for going under we get hopefully not a mess... \[\int t\sqrt{t^3-1}dt\] \[=\frac{t^2}{2}\sqrt{t^3-1}-\int \frac{t^2}{2}\frac{3t^2}{2\sqrt{t^3-1}}dt\] that is nasty
May I see the full work out please
this is the "full work out" as far as i can tell ... if not im sure you are capable of filling in the peices
for the x square root problem
I think I am missing parts that is why
uv-integral vdu
the only thing your missing, might be the u du v dv nonesense that is just organization
.. and if your up to integration by parts and cant figure out the integral of x^(1/2) there aint much i can do for that ...
No i know that
use the tabular method
the "t" one tho, i got no clue about yet
\[\int t\sqrt{t^3-1}dt\] \[=t(\int' \sqrt{t^3-1}dt)-\int''(\sqrt{t^3-1}dt) \] that aint pretty ....
Because my professor told me to use integration by parts for this one
you sure it aint sqrt(t^2 -1) ??
you aint got the talent to do the first one, and neither do i unless thats a sqrt(t^2-1)
amistre what is the integral of sqrt[(t^3)-1]
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