Question

I need help expressing a function in sigma notation?

Answer 1

\[f(x)=xe ^{x^2}\]

Answer 2

from x=0 to x=1

Answer 3

we can find a power series at some number

Answer 4

i don't think the question has been expressed correctly

Answer 5

because you given an interval

Answer 6

but maybe i'm wrong

Answer 7

It's not a power series equation tho

Answer 8

I need to express the function as a summation

Answer 9

so this question has nothing to do do with area or net area?
it is just to express the function as a summation on an interval?

Answer 10

Yes, I need to express the area under the function as a summation.

Answer 11

oh okay that makes a lot more sense

Answer 12

so we need to find the base of each rectangle
that can be calculated doing (right endpoint-left endpoint)/n

Answer 13

\[\Sigma(i=1)\]

Answer 14

your right endpoint is given at 1
and your left endpoint is given as 0

Answer 15

rectangle? is there a way to do this w/o riemann summs?

Answer 16

you have to divide the area up using rectangles

Answer 17

that is reimann sums

Answer 18

\[\Delta(x)=\frac{ b-a }{ n }\]

Answer 19

can i find it without drawing the picture tho?

Answer 20

\[\int\limits_{0}^{1}xe^{x^2} dx= \lim_{n \rightarrow \infty} \sum_{i=1}^{n} \Delta x f(a+i \Delta x)\]

Answer 21

yep

Answer 22

you just need to find the base of each rectangle and the height

Answer 23

where deltax=(b-a)/n

Answer 24

also you can say express the integral of xe^(x^2) on the interval (0,1)
in summation notation

Answer 25

and that is what we are doing actually

Answer 26

do you got this?

Answer 27

or do you still need help

Answer 28

how did you get "i" tho?

Answer 29

ok well maybe we might have to do a little doodle if you don't understand that
say we have that we want to find the area between y=f(x),y=0,x=a,x=b...