1.

Match the integration Integrals Antiderivatives 1. S 1. 1 sec 1 | |+ C 2. S a2 4x2 dx 2. sec -1 x + C 3 . XVx2_2 dx 3. cosh(") + 4 . da - cosh 1 (:) + C 5. J x2_az dx 5. 1 sinh (") + C 6. sinh (x) + C 7. 1 sin 1 (2) + C 8. sin (#) + C tan -1 (") + C 10. tan -1 :) + CWhich of the following are equivalent to the integral 4 J 2 sin (x) cos(x ) dac? 2 fo udu, where u = sin(z)2 1 4 So u' du, where u = sin(a) O 4 So (u3 - u) du, where u = cos(i)Which of the following integrals are correct? 5 f sin' (x) dx = cos 2 cost (x) 5 3 - cos(ac) + C f sin' (x) cos'(x) da = sin? sin' ac + C 7 5 O 1-cos(a dx = -2 cos 2 (2 ) +C O - COS (2x ) dx = - cos (x) + CWhich of the following sums of partial fractions is equal to 1 ( +1)2(22 +1) - 1 2(+1) + 2(2+1)2) 2(a2+1) 1 2( (+1)2) 2(x2+1) 1 1 1 2(x +1) + 2((+1)2 2(x2+1) 1 1 2(+1) + 2((3 +1)2) 2(x2+1) 1 1 2((2+1)2) 2(32+1) O 1 2( (2+1)2) 2(x2 +1)in 36kt}: (M4) i If the answer is a rational number but not an integer, type a/b, where a and b are integers with greatest common factor 1, and b > 0. V3 -1 Evaluate the integral 3 9 V3+1 1+(3x+1)2 dx 3 type your answer...Perform a test to determine if S 5+cos (62 da converges. ac OO 4 .00 5+cos(6x da choose your answer... V So, J dx choose your answer... ac acEvaluate 151;\" 5V" dm = 2 If the answer is a rational number but not an integer, type a/b, where a and b are integers with greatest common factor 1, and b > 0. Which of the following statements Is true of I300 The integral cannot be evaluated using integration, so the integral diverges. By the direct comparison method, 1:041 $ 41+ _ 93411 S 214 on [3, 00) and f: ids; converges. dz: diverges because limxgoo '.) 1 and f: 11 dm diverges. By the limit comparison method, I300 14H Bythe direct comparison method, I300 on[ [,3 00) and face 161 d3: diverges. _m4