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Evaluate the integral using the given substitution. ſ Vacos (x32-7) dx, u = x 3/2_, o...
Evaluate the integral using the given substitution. OA. $x*(88 - 4) *dx, u=x2-4 35x25 - 4+0 O B. 15 (85 - 4) + 12 / 3 (x3 - 4) + OD. 13 (x² - 4) + c +C Oc. +C
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...
Evaluate the integral. (Hint: Substitution Rule] ſ(27 (2.c + 3) (2.2 +6x + 1)dx
Evaluate the given integral using the substitution (or method) indicated. T (5x-6) dx; v = 5x - 6 + C Need Help? Talk to a Tutor MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the given integral using the substitution (or method) indicated. (4x - 2)4 dx shortcut +C Need Help? Talk to a Tutor Evaluate the given integral using the substitution (or method) indicated. / 4eX/6 dx; shortcut +C
Tutorial Exercise Evaluate the integral using the substitution rule. sin(x) 1/3 1* dx cos(x) Step 1 of 4 To integrate using substitution, choose u to be some function in the integrand whose derivative (or some constant multiple of whose derivative) is a factor of the integrand. Rewriting a quotient as a product can help to identify u and its derivative. 70/3 1." sin(x) dx = L" (cos(x) since) dx cos?(X) Notice that do (cos(x)) = and this derivative is a...
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.)
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
Evaluate the integral by making the given substitution. (Use C for the constant of integration.) *? Vx2 + 7 dx, u = x3 + 7
Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values where appropriate.) x3 dx, u = x4 – 5 5 Evaluate the indefinite integral. (Use C for the constant of integration.) X dx 1 + x20
8.)Evaluate: a.) S 4x® dx. b.) ſ 4x2Vx3 + 3 dx. c.) S(x3 +1 )2 dx.