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Use a change of variables to evaluate the following indefinite integral. ( (Vx+5) 4 3 dx...
Use a change of variables to evaluate the following definite integral. 0 S xV81-x* dx -3 Determine a change of variables from x to u. Choose the correct answer below. O A. u=x4 O B. u = 81- x4 O C. u = 4x3 OD. u= 181 - x4 Write the integral in terms of u. S xV81-x* dx= du -3 Evaluate the integral. 0 5 x 181-x* dx= { -3 (Type an exact answer.)
Use a change of variables to evaluate the following definite integral. 0 Sxva-x? dx - 2 Determine a change of variables from x to u. Choose the correct answer below. O A. u = 2x O B. u= 14-x? O c. u=x? OD. u=4 - x? Write the integral in terms of u. 0 Sxda- ox= so du -2. Evaluate the integral. 0 Sxda-x? dx=0 -2
Evaluate the integral sec 2(7x-2) dx Determine a change of variables from x to u. Choose the correct choice below. O A. u= sec (7x - 2) tan (7x - 2) O B. u=tan (7x-2) O c. u= sec (7x - 2) OD. u = 7x-2 Write the integral in terms of u. sec?(7x+2) dx = S du Evaluate the integral sec2(7x-2) dx = 0
Use a change of variables to find the following indefinite integral. Sx²(x8 - 11) * dx What is the best choice of u for the change of variables? U= Find du. du = O dx Rewrite the given integral using this change of variables. Sx(-11)* dx=SO. du Find the indefinite integral. Sx? (28 - 11)* dx =
3) Evaluate each indefinite integral. 015(6x?- 2e +2+5)dx bg(Vx-+ 3)dx
Evaluate the following indefinite integral. 3 + 3√x dx dx = 0 Determine the following indefinite integral. Check your work by differentiation. 5m (9m2 - 5m) dm 5m (9m2 - 5m) dm = Determine the following indefinite integral. Check your work by differentiation. Sur dr dr = Find the indefinite integralf f(-7 - 7 sec x tan x - 8 sec? x) dx. SC- -7 sec x tan x -8 sec? x) dx = | Determine the following indefinite integral....
Evaluate the following integral using a change of variables. Sketch the original and new regions of integration, R and S. 1 y+2 x-y dxdy Sketch the original region, R, in the xy-plane. Choose the correct graph below. О в. О с. O D. O A. While any changes of variables are correct for this problem use the change of variables that makes the new integral the simplest by making u·x-y and v·y. Sketch the new region, S, in the uv-plane....
(3 points) Consider the indefinite integral X – 3 (3x - 2)2 dx. The substitution u = 3x – 2 transforms the integral into: | du (This answer must be a function of u.) Note: You are not asked to evaluate the integral.
Use the substitution formula to evaluate the integral. 1/2 COS X s dx (5+5 sin x) 0 3 OA 1000 OB 3 200 OC. 3 200 OD. 12 125
Evaluate the integral or state that it diverges. 00 dx 14 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 8 dx OA. s Vx 14 OB. The improper integral diverges.