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Evaluate the integral using the given substitution. OA. $x*(88 - 4) *dx, u=x2-4 35x25 - 4+0...
Evaluate the integral using the given substitution. ſ Vacos (x32-7) dx, u = x 3/2_, o x312 sin 2(x3/2 - 7)+ C o sinᵒ (8312.7) + C a o 1/3 (4x) sin (x3/2 -7)+C o $(x3/2 - 7) + sin 2(x3/2 - 7) + C
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
In Problems 14-18, evaluate the given definite or indefinite integral, using u-substitution if appropriate. (12 points each) x + 3x -4 dx r? 14. 15. S (x+12 +2x - 3)dx
Evaluate the following integral. x² dx √ 121 + x² What substitution will be the most helpful for evaluating this integral? O A. x= 11 sec 0 O B. x= 11 tano O C. x= 11 sino Find dx. dx = dᎾ Rewrite the given integral using this substitution and simplifying. so x dx - Sodo √121 + x² Evaluate the indefinite integral. x²dx s √121+x² (Use C as the arbitrary constant.)
2x 3) Let f(x) = 3V9+x2 a) Evaluate the definite integral 1393 f(x)dx, using Trigonometric substitution. b) Find f(x)dx, using Trigonometric substitution. c) Is there any other way to compute the integral of part b). Explain. If yes, then show the calculations.
Use a change of variables to evaluate the following indefinite integral. ( (Vx+5) 4 3 dx J2V Determine a change of variables from x to u. Choose the correct answer below. OA. u= (x + 5)^ OB. u= VX +5 OC. Uz OD. u= Write the integral in terms of u. (Vx+5) dx = du 28x Evaluate the integral (Vx+5)* dx=0 2/8 Click to select your answer(s).
Evaluate the following integral using trigonometric substitution. dx s 3 2 (529 + x2) dx 3 2 (529 +x2) (Type an exact answer.)
Evaluate the following integral using trigonometric substitution. 7x² dx (121 + x2) 7x² dx s (121 +x?)? (Type an exact answer.)
Decide on what substitution to use, and then evaluate the given integral using a substitution. HINT See the FAQ a the end of the section for advice on deciding on u, and the examples for the mechanics of doing the substitution.] (4 10.2e344 dx +3.000024034x-4x + Decide on what substitution to use, and then evaluate the given integral using a substitution. HINT See the FAQ a the end of the section for advice on deciding on u, and the examples...
10. (16) Find each indefinite integral using u-substitution: a. x?(1–2x")*dx b. ſxcos(x2 – 1) dx