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Express the limit as a definite integral on the given interval. lim η Σ X; -ΔΧ,...
Express the limit as a definite integral on the given interval. lim n00 1 = 1 X; In(1 + x2) Ax, [2, 4] SI dx
What is the limit definition of the integral cos x dx? lim Σ COS (1): η. lim Σ COS η. (1) (1) lim Σ COS T in Σων (1)
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Express the limit as a definite integral n lim Σ ( sec c?q)4 Axk, where P is a partition of [-67, 6x] ||P|| → 0k=1 6 on secx 12x dx 6 1 ов. | | sec x ds oci tan x dx 6 6 00 1 sec ? x dx 6 Use the graph to evaluate the limit. OA. 2 lim f(x) OB. 0 X0 C. - 2 Ay O D. The limit does not exist. 5 4 3...
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
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
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 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...
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
7. Express the limits lim sin(x: Aras a definite integral on the interval [0.2) and then evaluate the integral
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