Number Series
1
Name:
_
2012-12-02 21:44
write integral (from 0 to 1) of 1/(8+x^3) dx as the summation of a number series
2
Name:
Anonymous
2012-12-04 16:40
We are too stupid to do your homework.
3
Name:
Anonymous 2012-12-05 2:16
Shut the fuck up Anon. I will gladly do OP's homework.
4
Name:
Anonymous 2012-12-08 18:31
\int_{0}^{1} \frac{1}{8+x^{3}} dx as the summation of a number series.
5
Name:
Anonymous
2012-12-10 19:08
But what does it mean?
6
Name:
Anonymous
2012-12-16 20:32
\lim_{n\rightarrow \infty }\sum_{i=1}^{n } \frac{1}{8+(\frac{i}{n})^{3}}
7
Name:
Anonymous
2012-12-16 20:36
8
Name:
Anonymous
2012-12-16 20:39
\lim_{n\rightarrow \infty } \frac{1}{n}\sum_{i=1}^{n } \frac{1}{8+(\frac{i}{n})^{3}}
9
Name:
Anonymous
2013-01-11 22:52
You can taylor series around x=0:[eqn] \int_{0}^{1} \frac{8}{1+(x/2)^3} dx = 4 \int_0^2 \frac{1}{1+x^3}=4 \int_0^2 \sum_{n=0}^{\inf} (-1)^n (x^{3n})[\eqn][eqn] \sum_{n=0}^{\inf} 2\frac{(-8)^n}{3n} [\eqn]
10
Name:
Anonymous
2013-01-12 9:10