Question
In: Math
Use Simpson’s Rule with n = 4 to approximate the value of the definite integral ∫4...
Use Simpson’s Rule with n = 4 to approximate the value of the definite integral ∫4 0 e^(−x^2) dx. (upper is 4, lower is 0)
Compute the following integrals (you may need to use Integration by Substitution):
(a) ∫ 1 −1 (2xe^x^2) dx (upper is 1, lower is -1)
(b) ∫ (((x^2) − 1)((x^3) − 3x)^4)dx
Solutions
milcah answered 2 years agoRelated Solutions
Use the trapezoid rule, midpoint rule, and Simpson’s rule to approximate the given integrals with the...
Use the trapezoid rule, midpoint rule, and Simpson’s rule to
approximate the given integrals with the given values of n.
?) ∫ ? ? / 1+? 2 ?? (from 0 to 2) ? = 10
?) ∫ √??? ?? (from 1 to 4) ? = 6
Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson’s Rule to approximate the...
Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c)
Simpson’s Rule to approximate the given integral with the specific
value of n. (Round your answer to six decimal
places).
∫13 sin (?) / ? ?? , ? = 4
Please show all work.
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of n.
(Round your answers to six decimal places.)
2
1
6 ln(x)
1 + x
dx, n = 10
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of
n. (Round your answers to six decimal places.)
π/2
0
3
2 +
cos(x)
dx, n
= 4
(a) the Trapezoidal Rule
(b) the Midpoint Rule
(c) Simpson's Rule
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of
n. (Round your answers to six decimal places.)
4
0
ln(3 + ex) dx, n = 8
(a) the Trapezoidal Rule
(b) the Midpoint Rule
(c) Simpson's Rule
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of
n. (Round your answers to six decimal places.)
π/2
0
3
1 + cos(x)
dx, n = 4
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of n.
(Round your answers to six decimal places.) 5 2 cos(7x) x dx, n = 8
1 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's
Rule
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule
to approximate the given integral with the specified value of n.
(Round your answers to six decimal places.) 2 0 e^x/ 1 + x^2 dx, n
= 10 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's
Rule
Approximate the arc length of the curve over the interval using Simpson’s Rule SN with N=8....
Approximate the arc length of the curve over the interval using
Simpson’s Rule SN with N=8.
y=7e^(−x2) on x∈[0,2]
(Use decimal notation. Give your answer to four decimal
places.)
Use the Midpoint Rule for triple integral to estimate the value of the integral. Divide B...
Use the Midpoint Rule for triple integral to estimate the value
of the integral. Divide B into eight sub-boxes of equal
size. (Round your answer to three decimal places.)
2 sin (2xy2z3) dV, where
B
B =
(x, y, z) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 2, 0 ≤ z ≤ 1
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