Approximate the arc length of the curve over the interval using
Simpson’s Rule SN with ?=8....
Approximate the arc length of the curve over the interval using
Simpson’s Rule SN with ?=8. ?=2?^(−?^2), on ?∈[0,2] (Use decimal
notation. Give your answer to four decimal places.) ?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 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 given integral with the specific
value of n. (Round your answer to six decimal
places).
∫13 sin (?) / ? ?? , ? = 4
Please show all work.
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
Given v′(t)=2ti+j, find the arc length of the curve v(t) on the
interval [−2,3]. You may use technology to approximate your
solution to three decimal places.