Question

integral help

Answer 1

I need help with part b

Answer 2

Hint:

\[\huge \int\limits_{a}^{b}f(x)dx = \lim_{n \rightarrow \infty}\sum_{i=1}^{n}f(x _{i})\Delta x\]

\[\huge \Delta x=\frac{ b-a }{ n } \ and \ x _{i}=a+i \Delta x\]

Answer 3

ok I'm a little confused, I haven't done anything regarding riemann sums.
so the \[\Delta x=\frac{ 4-1 }{ 3 }\]
\[\Delta x = 1\]

x\[x _{i} = a + i \Delta x\]
\[= 1 + i(1)\]

I have no idea how to do it even from trying to find out from Google, could you go through it with me?

Answer 4

You just need to know the limits and the function of the integral. :P You already know a to b, just need the function now.

Answer 5

All the stuff is given

Answer 6

\[\lim_{n \rightarrow \infty} \sum_{n}^{i=1} [6+2i] \times 1\]

Answer 7

how do you even get the integral?