In Problems 14-18, evaluate the given definite or indefinite integral, using u-substitution if appropriate. (12 points...
For each indefinite integral, evaluate the integral. For each definite integral, evaluate the integral or show that it is divergent. ******Please try not to use U-sub, I do not understand how the online step by step calculators solve using 4. a and b 8+2x2 r(arctan(x))dx 8+2x2 r(arctan(x))dx
(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.
8. (7 points) Evaluate the indefinite integral using a substitution. State the substitution and show all work to justify your result for credit. dx V1 - 4x2 sin-1(2x)
1. Evaluate the indefinite integral sen (2x) – 7 cos(9x) – sec°(3x) dx = 2. Evaluate the indefinite integral | cor(3x) – sec(x) tant(x) + 9 tan(2x) dx = 3. Calculate the indefinite integral using the substitution rule | sec?0 tan*o do =
Evaluate the following indefinite or definite integrals using substitution. SHOW EACH STEP on the answer sheets. 16. Sa com a dx u=__ du= 17. 62 e 2 dx u=- du=
Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt u = 1 - 2t (1 - 20) [-/1 Points] DETAILS SCALC8 4.5.512.XP. Evaluate the definite integral. 5 V1 + 3x dx Love
10. (16) Find each indefinite integral using u-substitution: a. (x*(1-2x°)* dx b. fxcos (x2 - 1) dx
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.
10. (16) Find each indefinite integral using u-substitution: a. x?(1–2x")*dx b. ſxcos(x2 – 1) dx
Characterize the below integrals (definite or indefinite) and solve the integrals by using the substitution rule: a. S(-11(5x + 7)5)dx b. S(4V7x - 1)dx C. J-8 siz3x cosx) dx d. S -6 dx 2x+3 e. S(-5sin(9x - 4))dx