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Tutorial Exercise Calculate the left Riemann sum for the given function over the given interval using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular method, values of the function in the table should be accurate to at least five decimal places.) f(x) = \frac{2}{1 + x} over [0, 1], n = 5 Step 1 We are asked to calculate the left Riemann sum for $f(x) = \frac{2}{1 + x}$ on the interval $[0, 1]$ with $n = 5$. Recall that the left Riemann over an interval $[a, b]$ sum is given by $\sum_{k=0}^{n-1} f(x_k)\Delta x$, where the points $x_k$ are the endpoints of the subdivisions of the interval in increments of size $\Delta x = \frac{b - a}{n}$. First, we need to find $\Delta x$. $\Delta x = \frac{1 - 0}{5}$ $x_0 = a = 0$ $x_1 = x_0 + \Delta x = \frac{1}{5}$ $x_2 = x_1 + \Delta x = 0.6$ $x_3 = x_2 + \Delta x = 0.8$ $x_4 = x_3 + \Delta x = \frac{4}{5}$

          Tutorial Exercise
Calculate the left Riemann sum for the given function over the given interval using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular
method, values of the function in the table should be accurate to at least five decimal places.)
f(x) = \frac{2}{1 + x} over [0, 1], n = 5
Step 1
We are asked to calculate the left Riemann sum for $f(x) = \frac{2}{1 + x}$ on the interval $[0, 1]$ with $n = 5$. Recall that the left Riemann over an interval $[a, b]$ sum is given by $\sum_{k=0}^{n-1} f(x_k)\Delta x$, where the
points $x_k$ are the endpoints of the subdivisions of the interval in increments of size $\Delta x = \frac{b - a}{n}$. First, we need to find $\Delta x$.
$\Delta x = \frac{1 - 0}{5}$
$x_0 = a = 0$
$x_1 = x_0 + \Delta x = \frac{1}{5}$
$x_2 = x_1 + \Delta x = 0.6$
$x_3 = x_2 + \Delta x = 0.8$
$x_4 = x_3 + \Delta x = \frac{4}{5}$

Tutorial Exercise
Calculate the left Riemann sum for the given function over the given interval using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular
method, values of the function in the table should be accurate to at least five decimal places.)
f(x) = (2)/(1 + x) over [0, 1], n = 5
Step 1
We are asked to calculate the left Riemann sum for f(x) = (2)/(1 + x) on the interval [0, 1] with n = 5. Recall that the left Riemann over an interval [a, b] sum is given by ∑k=0^n-1 f(xk)Δ x, where the
points xk are the endpoints of the subdivisions of the interval in increments of size Δ x = (b - a)/(n). First, we need to find Δ x.
Δ x = (1 - 0)/(5)
x0 = a = 0
x1 = x0 + Δ x = (1)/(5)
x2 = x1 + Δ x = 0.6
x3 = x2 + Δ x = 0.8
x4 = x3 + Δ x = (4)/(5)

Added by Daniel M.

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