Question

Estimate the integral using a left-hand sum and a right-hand sum with the given value of N.

∫41x√dx, n=3

Left-hand sum =

Right-hand sum =

Answer #1

We are given

n=3

Firstly, we will find delta x

**Left-hand sum:**

we can find sum

now, we can plug values

**Right-hand sum:**

we can find sum

now, we can plug values

**............Answer**

Consider the integral
∫12 0 (2?^2+3?+2)??
(a) Find the Riemann sum for this integral using left endpoints
and ?=4
L4=
(b) Find the Riemann sum for this same integral, using right
endpoints and ?=4
R4=

Use the following table to estimate ∫0 25 f(x)dx. Assume that
f(x) is a decreasing function.
x
f(x)
0
50
5
46
10
42
15
35
20
29
25
9
To estimate the value of the integral we use the left-hand sum
approximation with Δx=
.
Then the left-hand sum approximation is ___ . To estimate the value
of the integral we can also use the right-hand sum approximation
with Δx=
Then the right-hand sum approximation is ____
.
The...

Estimate the minimum number of subintervals to approximate the
value of Integral from negative 2 to 2 left parenthesis 4 x squared
plus 6 right parenthesis dx with an error of magnitude less than 4
times 10 Superscript negative 4 using a. the error estimate formula
for the Trapezoidal Rule. b. the error estimate formula for
Simpson's Rule.

Express the given integral as the limit of a Riemann sum but do
not evaluate: the integral from 0 to 3 of the quantity x cubed
minus 6 times x, dx.

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.) HINT [See Example
2.]
f(x) = e−x over [−3, 3], n = 3

Instructions: Approximate the following definite integrals using
the indicated Riemann sums.
1. Z 9 1 x 1 + x dx using a left-hand Riemann sum L4 with n = 4
subintervals.
2. Z 3 0 x 2 dx using a midpont Riemann sum M3 using n = 3
subintervals.
3. Z 3 1 f(x) dx using a right-hand Riemann Sum R4, with n = 4
subintervals

1)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.) HINT [See Example
2.]
f(x) = 40 − 120x over [−1, 1], n = 4
2)Calculate the left Riemann sum for the given function over the
given interval, using the given...

\sum _{n=1}^{\infty
}\left(\frac{3}{2^n}+\frac{8}{n\left(n+1\right)}\right)

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) = 14 − 42x over [−1, 1], n = 4

Estimate the area under the curve f(x) = sin(x) from
using 6 subintervals and a right hand sum. Repeat this but use a
left hand sum
from x=0 to x= pi/2

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