1
answer
0
watching
399
views
13 Nov 2019
Recall that if fis integrable on [a, b], then the Definite Integral of f from a to b is given by f(x)dx = lim f(xÇJAxk for any partition of [a, b] and any pointsx. To simplify these calculations, we use equally spaced grid points and right Riemann sums. That is, for each value of n, wlet AxkAand = a + kax, for k = 1,2, , n. Then as n â oo and Îâ 0, k=1 In exercises #1-5, use the definition of the Definite Integral and right Riemann sums to evaluate the following definite integrals. Check your solutions using the Fundamental Theorem of Calculus. (1) x3)dx (2) (2x -4)dx (3) x?dx (4) (x3)dx (5) (2x2-1)dx The following Sums will be of help. Forn a positive integer and c a real number: c=cn k 1 k" = n(n+1)(2n + 1) nn 1)2
Recall that if fis integrable on [a, b], then the Definite Integral of f from a to b is given by f(x)dx = lim f(xÇJAxk for any partition of [a, b] and any pointsx. To simplify these calculations, we use equally spaced grid points and right Riemann sums. That is, for each value of n, wlet AxkAand = a + kax, for k = 1,2, , n. Then as n â oo and Îâ 0, k=1 In exercises #1-5, use the definition of the Definite Integral and right Riemann sums to evaluate the following definite integrals. Check your solutions using the Fundamental Theorem of Calculus. (1) x3)dx (2) (2x -4)dx (3) x?dx (4) (x3)dx (5) (2x2-1)dx The following Sums will be of help. Forn a positive integer and c a real number: c=cn k 1 k" = n(n+1)(2n + 1) nn 1)2
Lelia LubowitzLv2
23 Mar 2019