Question

please answer its urgent.

evaluate the following integrals, include procedure.

था - do ४) de | + me . १ ) Cose de 3 + sen o

Answer 1

Page Solve the integral 2 IT 1 do 1 + 1 Sino 2. 2T 2 I do 2+ smo 2 t 2. I alssmao = 2 Sino cose 2 + 2 sono coso 2 2 L It smo Cos o 2 2T 1 do L Smo • coso Coso 2 2 cos% 27 L da 2 It tan o 2 coso 2 2 IT - fan o 2 Sec? of

Date Page 2 IT secco = sanott B 1+ tan % tau a + 2 Now let tau o t - dt seco 2. 2 1 do = dt (utano + 2. 2 do २de it 2+ L t=0 o = 2IT 2) salue limit lastly. → 1 L 2 dt 1 + Itt tan % tano ++ et ²+1 2 2 1 dt ²+2 tt 2. 1 dt 2. latti 3 * 4 al tan n²+ a2 a 9

Date Page tan (t +/) + 2. 2 tan 2 D . (4+1) 2 Vs V3 Now al change t into o tauo t (o=2 tautt) e 4 tant 2 √3 ( lano + 2) 3 Now o to 2it apply dimit tant 21 4 2 / ten oth 3 3 2 2 dan 2 4 3 2 / sau 2 T + 2. tant 2) tau 0 + L 2 V3 2 q tant 2 tan Iz (4 2 - tou q 13 It 1 3 4 tunt o 4 T generalidue beu o a no

Page DIT 97 coso do 3t smo let t 3t suo Cos o do dt dt t log t + c Change (t = 3+Suo) log (3+ smo) + c Now lent o to 21T भा 0 [log (3+ smo) 2)] log (3 + Su 217) - log (3+5mo) log (3+0) 3-lag 3 log (3+0) la g log 3 3