Question

ДА 9 10 11 12 13 14 15 15 a) | 4e** f(e?*)dx ja b) [2]5(-x+1) di c) [°50f(3x² +1)dx + d) 3f (2 cos(4x)+1) .dk csc(4x) (Vx √x - dx f) s f (5 tan(3x)) - dx cos? (3x) +1+ 12

if you could please evaluate each of the following integrals that would be great! Thank you in advance!

Answer 1

4224f (12) dhe Let - at e24 = t 4= -F3 1 in 2 2024 ta 2x / In2 du= dt eanah= dt e : 2 H = £ ens t=5 I ens 40% fle?) dH - pilna 5 fit) 4 ft 2 2 2 Ses f1t) dt 32 [f (5) - f12)] Fa[6. - 0] 12

5 L? 2 | + C-H+ )) ち Let C-H+I) - 4 - 48 = 4 + at 어 - - 1. ㅋ t+2 HE 4 > t- 3 4 - 3 2 | fl-H) - 2 f(dt 2 2 1) - 3 [f(-3) - f(3)] - 2 [ 3 - 0) C - 6 © I Lessf (3+1) 여 ㄴ다 3거일 1 HE t-1 3 6애 이거 3d4 거이에 크 얘t at 에스지 t24. 스o t <l le sn (31) h : 5 flt) dt

{ [f!!- f(0)] El 3 - 6) = x(-3) - - + 5 1 6 3f (2005 (44) + 1)) CSC (41) dh = 3 Sin tu f(26o5.com kle 4 1 Let COS 44+1 st at ta mo H=; 4- T t = 2 Sin 44 x adn = dt 중 sin 44 dna dt 8 3 f ( 2 Cos (924)+1) 3 fit) dt the kit dh oo/ CSC (44) - B [ f(0) - 76-1)] [0-3] 3 olle och ول 2 f(un-1) va dh

없 at ) t 그&S t= 4 th= dt h: 4 3 t = 1; von dn = adt VA 잇5 4 f5-1) dh - 2×2 f10 이 ㅏ '4 4 [ f G) - 001 2 - 4 [ 6 -->] 36 b ④ sec3nf(5ten3h)dh f (stan 32) an Cose 3개 암 - 12. Let at 5 tan an 4 + 820 ² t = 0 s (sec23d) x 3 dn = dt 뺘 수 ㅋ : y s923개 0려는 dt Ts 0 f (5 tanah) dn dt 15 엉 Cose 3n 5 10 자 [ f (o) - f(s) | [o-] - 0 IS