Question

please answer EVERY question for an upvote ?? + good review!!

Find the antiderivative. 1. / (2 + z ² )d 2. / sin(x) da 3. / sin(4x)dex 4. /le+e->)de 5. / (r sin(x)de 6. / 12V 22 – 5}dt

Answer 1

Ag! 0 [(a+2) da = tegas + +C {1x {1x?d7=xt nt) 3 @ Sin(x) dx --CA(x) a + c (sin(4x) dx = -cos (42) S sinar.da zlogaz + C CL 4 4 See tex) dx Senda =aear a a = expă te 6 f (x -Sim (a?)) oct* Let x²=f To 2x dt dx » atza da g 2-1 cos(t) + c 2 Put tax² I sinit.dt | [2• Sin(2%)). I les (2²) te g TOASE North اممممم فير ويهدم دوم

J 7²-5 0 0 싸 우 ~5 dt da 보일 이와는 20d 2 { 'ay = x++) C 노 0) 2 치 ſt at It. 中C 뼈는 ) g () (14.c, fit it > i7-5 3 +C Put it 2 x 2 -5 312 7yx-5 ) - - 글 (1-5) + ( U, IL 911-2da S 빠 12 키얼스 1-4 위루 투 2 -) a) dt anda 2) -d2d2 2. = -11-}) 45.t - - (-) dt = Jf4-5).at . 이방 Put t= 1-8

chince 201-235423 (1-7) 11-x)" + c 8 f sind (6000).do 3 NIFT Let Cos oct at - Sino -dt = Sino.do z do 3.dt U ot TH put t=coso 4 ſ sim ol cogo) 3.do -(coso)? te 4 19 2 .da Vita 2 het Ita2=t dt di 2.22 ) at a.da z I elt : Slts.at + 치주 est 12 put its 1+42 X dx = It x tc. Vita?

WAL 10 Szent dal alna Let Inx=f dt dx kp. Tato 2 x a Z side ent t Put tzena / henne = xp si An (10 (x)) to хч Х.