Question

Consider the integral given by [a,b]=[0,4]. (a) Find an approximation to this integral by using a Riemann sum with right endpoints and n = 8. Your answer should be correct to four decimal places. R8= ?

Answer 1

I assume that you are trying to find the right Riemann sum for some function `f` with the given `n` and the interval `[0,4]`

Explanation:

The equality `[a,b]= [0,4]` does not give an integral.

I assume that we have some integral given by `int_a^b f(x) dx`, with `[a,b]= [0,4]`.

With `n=8`, we get `Delta x =(4-0)/8 = 0.5`

So the right endpoints of the subintervals are:

`0.5," " 1," " 1.5," " 2," " 2.5," " 3," " 3.5, " and " 4`

The desired Riemann sum is:

`R_8 = [f(0.5)+ f(1)+ f(1.5)+ f(2)+ f(2.5)+ f(3)+f(3.5) + f(4)] 0.5`

Once you know what the function is, you can do the arithmetic.

Answer 2

Explanation:

This is the question.