integrate(arctan(x^2)) from 0--->1 with finding a numerical serie,what is the value which makes the error smaller than 0,0001??
thanks for,ı need this as soon as possible.
integrate(arctan(x^2)) from 0--->1 with finding a numerical serie,what is the value which makes the error smaller than 0,0001??
thanks for,ı need this as soon as possible.
We know that
So
So since and a power series is uniformly covnergent and integrable on the interior of its IOC we have that
Now to find the appropriate error note that if and that
So the error of your series is less than or equal to the first neglected term, so calculate