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7.3.89 Evaluate the following integral. Assig 2 07/17 de 07/1 50% 2 Onlin 52-00-00 Jestion 11/13
Evaluate the following integral in cylindrical coordinates. z T 4 4 dz r dr de 00-4 -4 4 T 4 4 SSS dz r dr do = (Type an exact answer, using a as needed.) 00-4
Evaluate the following integral or state that it diverges. 00 dx 1 x +49 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 00 O A. dx s x? +49 (Type an exact answer, using e as needed.) 00 OB. The improper integral diverges.
2. (4 points) Evaluate the following definite integral. Simplify your answer. ,' 632 - )(x+2) de g²+1 VO
Evaluate the integral. Does Cauchy's theorem apply? Show details . 2 & de 1 6 z dz > ¿ z2+ CZ til: i Z2+1 C: 12-11 Counterclockwile Counter clock wise
1. (15 pts) Evaluate the following integral: 171*** v2 + y2 +7 derdy de
Evaluate the following integral using trigonometric substitution. 13 2 5VX + 1 dx 0 13 S svx2 +10x= (Type an exact answer) 0 >
V3 2 Evaluate the integral dx (4x2 + 1) 3 OA 1 ОВ. (13– 1) 1 Ос. IVS+ OD 1 1118 - 12 17/12 - √3) ОЕ.
In Problems 9-13, find or evaluate the integral. r4 9. -dx 9. (5pts.) In(x-1) 10. ] dx 10. (5pts.) (x-1) sectan 11. de 11. (5pts.) 2 + sece ('sid) ει *p ET x 801 8 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 e ('sids) TI ep (ou1 – 1)so5 | JI TI
1,2,3 please Question 1 (1 point) Find the indefinite integral leading to arcsin) or arctant). Onlin(81x)+C Od (14x) + Od 12cm () el 12 arcain (81x)=C Question 2 (1 point) Which of the following tests could NOT be used to show convergence for a) Limit Comparison Test Ob) Direct Comparison Test Od Ratio Test Od Integral Test Question 3 (1 point) Find the sum of the convergent (telescoping or geometric) series. +100+12) O OD O. Question 4 11 nointi
Evaluate the following indefinite integral. | asin" (a)cos(2) de Do not include "+" in your answer. For example, if you found the antiderivative was 2x + C you would enter 24.