1. Evaluate the de 4. Evaluate the integral: als poo x2 J- Y6 +1 dx
1. Calculate the definite integral 1 (229-33 +5) de (a) Find an antiderivative F(x)= (b) Evaluate F(2) F(2) = (c) Evaluate F(1) F(1) = (d) Calculate the definite integral 3x + 5) dx = 2. Calculate the definite integral. Give exact answers. Зе -Te du (a) Find an antiderivative F(*) = (b) Evaluate F(0) F(0) (c) Evaluate F(-1) F(-1) = (d) Calculate the definite integral.
Evaluate the spherical coordinate integral. 1/ 27/ 37 sec 10) 4 sin2 pcos y de dode O O 6 sec 4 10)
Evaluate and then determine if the improper integral $. de converges.
2. (4 points) Evaluate the following definite integral. Simplify your answer. ,' 632 - )(x+2) de g²+1 VO
1. (5 points) Evaluate the line integral 1 + de todos dy, where C consists of the arc of the circle x2 + y2 = 4 from (0, 2) to (2,0).
Evaluate the following integral using integration by parts. [218 csc?a de Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. B. Ocot - OA. - 210 cote- -(-21 cot e) de -[(sin e) de OC. -210 sine + ſ(-21cs (-21 csc 6) de OD. -21 csco - [(-21 (-210 coto) de Evaluate the integral [210 cse’e do=D
evaluate the following integral sec/ tan / vi+secl de
1. (15 pts) Evaluate the following integral: 171*** v2 + y2 +7 derdy de
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