Express the limit as a definite integral on the given interval. lim n00 1 = 1...
Express the limit as a definite integral on the given interval. lim η Σ X; -ΔΧ, +7 [1, 9] (x)2 + = 1 dx 1
A. Express the limit as a definite integral on the given interval. B. Use the form of the definition of the integral to evaluate the integral. n Š lim n-> Xi Ax, [1, 3] (xi +13 * 2 i=1 3 6 (2x - x2) dx
5. (-/1 Points] DETAILS SCALC8 4.2.503.XP. Express the limit as a definite integral on the given interval. n lim 3x;* + (x;*)2 Ax, [1,4] i = 1 dx
8. Express the limit as a definite integral on the given iterval. lim :0;)2 + 44.2 on (1.3) (a) Si 7244dx (b) S dx (e) tada (d) $3 2274 d.
Express the following limit as a definite integral. n 1 lim P10 k=1 -Axk where P is a partition of [3,5] 5 The definite integral is si dx. 3
1. Express the following limits as a definite integral: (a) lim 19–1 xịIn(1 + xi;?))Ax (2,6] (b) lim E?a. Co Ax [TT, 21) n00 m Li=1 Xi in COSXį n00
(1 point) The limit lim /2x + (x)?Ax 11 can be expressed as a definite integral on the interval [1, 8] of the form $(x) dx Determine a, b, and f(x). a = b= f(x) =
Express the limit as a definite integral. lim. Į (4522-52 +9) Axx: [-2, 3] (4x2 - 9 + 9) dx x2 - 9x +9) dx (8x - 9) dx (4x - 9) dx
Question 4 4.1 Express the limit as a definite integral on the given integral: 1-x} Ax , [2,6] lim Σ=1 a. (2 Marks) n->00 4+x} lim (?-1 - Ax ,[1,3] (xi) - 4 b. (2 Marks) n->00 4.2 Evaluate the following expressions. Show your calculations. $=1(2p – p2) b. En-o sin a. (2 Marks) пп (2 Marks) 2 C. 2m +2 53 Lm=1 3 (2 Marks) [Sub Total 10 Marks]
Express the limit as a definite integral. n lim Σ 1P10k1 TCK' AXk, where P is a partition of [6, 12] 6 OA. 7x6 dx 12 n B. 7x dx 1 12 Oc. zxdx de 12 OD | 42x2 dx Find the derivative. to y = = S cos Vt dt 0 O A. cos (x3) O B. sin (x3) OC. 6x5 OD. cos (x3) - 1 cos (x3) Solve the initial value problem. dy = x(2+x2)), y(0) = 0...