4. Evaluate the integrals that converge. +00 -4. e da (b) (b) Si Jo-1 da (18...
ex4.19
Ex. 4.19. Use contour integration to evaluate the following real integrals dar da (a) (b) r22x5 (x21)2 da da (c) (d) (221)(a2+4)
Ex. 4.19. Use contour integration to evaluate the following real integrals dar da (a) (b) r22x5 (x21)2 da da (c) (d) (221)(a2+4)
(1) Evaluate S SIS "Jo dzdydi B. Evaluate JJ y dA where D is the region bounded by xay and y = 2 - X.
4. Evaluate the following integrals: (a) s 213cosy da siny (b) ſ sec8(tand + sec8 + cos) de
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
1. Evaluate triple integrals. sinx sin y dzdydx (a)Jo So (b) o JoV dz dxdy
Evaluate the following integrals...
(1 point) Evaluate the following: a. 1 (8 + e-t) $(t – 4) dt = J-1 (6 | (8 + e +) 8(t – 7) dt = . %8+*80) dr = (8 + e +) 8(t) dt = 00
Evaluate the following integrals. Please check the function to be integrated and the order of integration carefully! [6 points each] grals. Please check the function to be integrated and the order of a.) 5° L. (204 – 3) dy do b.) 1/3 2/6 sin(x + y) dx dy Jo Jo ) DA R: 1 < x < 3; 1 <y <4 JR
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.
Problem 5: Evaluate log(x) Jo 4+2 0 3. Show that 2x cos(e) Jo 1-cos(0)
Problem 5: Evaluate log(x) Jo 4+2 0 3. Show that 2x cos(e) Jo 1-cos(0)
1. Evaluate the following integrals by transforming them to polar form (3r + 2y2)dydr, (2 +y)dydr, (r2 -)dydr, 22ydr o Jo (23y) dydr, 2 3y) dydr,
1. Evaluate the following integrals by transforming them to polar form (3r + 2y2)dydr, (2 +y)dydr, (r2 -)dydr, 22ydr o Jo (23y) dydr, 2 3y) dydr,