Question

Compute the series

Answer 1

You stuck where?

Answer 2

im stuck at the beginning.. i think know how to integrate but how to decide on its limit on the integrals

Answer 3

limits would go form \(0\) to \(n\)

Answer 4

or maybe \(1\) to \(n\). It could help to draw it.

Answer 5

\[\int\limits_{?}^{?} 2x e ^{-x^2}dx\] how do u decide on that?

Answer 6

the sum says starting from n=1 to infinity right? so from 1 to infinity? im kinda lost ):

Answer 7

Well, you are finding an approximation, right?

Answer 8

For the partial sum....

Answer 9

So you are adding up to the \(n\)th term. And that means that your limits should go to \(n\).

Answer 10

huh im so confused ): so what do u propose to do? integrate from 1 to n, then?

Answer 11

This is the graph. Notice the bars are the actual sum, but the integral is the area under the curve.