show work and write clearly please 2 23 dx Jo x2-4 Evaluate the following improper integral
Please show all steps. Evaluate the integral using a trigonometric substitution. Jo (4 – x2) 312 * - *2)3/2 dx
Evaluate the improper integral or show that it is divergent. dc r2 + 4 S. 22 (22 + 4) da Loitzada dan poo Jo 1 + x2 1 1 + 9x2 dx
The question is, evaluate the following integral. 1+x2+22 43. dy dx dz Jo Jo
2017 is the power of (1 + x^2) Exercise 9. (i) Evaluate dr (ii) Show that the following improper integral converges roo arctan r dx. Jo (1+r2)2017 Exercise 9. (i) Evaluate dr (ii) Show that the following improper integral converges roo arctan r dx. Jo (1+r2)2017
dx 0 x show all work! 4. [12 pts.] Use residues to evaluate the integral Jo +1
Evaluate the given improper integral or show that it diverges In a In dx
4) Evaluate dx (4 – x²) 3/2 5) Evaluate the improper integral ſxe**dx 0 6) Express the repeating decimal 0.123 as a geometric series and then use the sum of that series to express the decimal as the ration of two integers.
2. 10 23 x · [In(x)]2 Jg x+2 In Problems 1-26, evaluate each improper integral, or show why it diverges. po 1 5 1. dx dx 2 3. dx 4. dx 13 1 + x2 5 X 5. dx 6. dx x. In(x) Jo 1 + x2 1 7 dx 8. dx -2 J3 (x - 2)2 1 1 9. dx 10. dx (x - 2) 1 11. dx 12. dx J3 (x+2)3 14 1 1 13. dx 14. dx...
Question 2 please 1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
Evaluate the integrals. Please show each step clearly. Thanks! :) 1) Evaluate the following integrals. You must show your work. If an integral does not converge, show why. a. st x2 - 4x – 1 dx x3 + x 10 b. 5 - dx (x - 2)3 c. .00 15x2 + 6 dx (5x3 + 6x)3