HTTI I TIPIT 1. (15 pts) Evaluate the following integral: sp=p*** vetujete do dydis Jo Jo
The question is, evaluate the following integral. 1+x2+22 43. dy dx dz Jo Jo
dx 0 x show all work! 4. [12 pts.] Use residues to evaluate the integral Jo +1
Convert the given integral to an equivalent integral in cylindrical coordinates and evaluate the result, 15 p/25-x² px² V x2 + y2 dz dy dx Jo
Evaluate the double integral f(r, ) dA. 7/6 2 p2 sin(O) cos(O) dr do Jo Jo Enter a fraction, integer or exact decimal. Do not approximate.
Evaluate the integral cosh(r)dx dy dz Jo o Evaluate the integral cosh(r)dx dy dz Jo o
1. (15 pts) Evaluate the following integral: 171*** v2 + y2 +7 derdy de
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
9. Use a contour integral to evaluate the trigonometric integral. Jo 3+ 2 costat
p® 4.0 + 10 (1) (5 points) Determine whether the improper integral diverges. Evaluate the integral if it converges. Jo .2 + 5x + 2 de converges or دم dr converges or di- (2) (5 points) Determine whether the improper integral verges. Evaluate the integral if it converges.
3. (3 pts.) Convert the following double integral to an equivalent polar form but do NOT evaluate: 4-y2 3. (3 pts.) Convert the following double integral to an equivalent polar form but do NOT evaluate: 4-y2