Question

1 x2 - x 3. Find indefinite integrals of these functions: (a) V1 + 4x2; (b) 4 - 22; (c) : () (22 - 1)3/2

Use substitution of trigonometric functions but please give answers in terms of x and it should be simplified

Answer 1

3)ap Rut Secodo 1 4x 1+ 4 tan +4 x1 tamo=1+tuts 4 Seero 1 4x 3 Seco eco x eeodo Seodo fuleda Seco secodo Take tam 9 (tam o Seeo)do tano sece- tamo eeco tama eeaodo funo Seco-eio-)eode

Judode ferodo tfecado tama seeo + 1 fauieda n frueada tamo secot Inlsecot tama 2feco do= Tnl Seca t tamol Beco tam e+ fecodo sece tame + nsecO+ teuno 2x tan e VI+4n as Seca fseedede +4 + 2 fuado as JI+Ax 22 +n12xt V+4x c 4-2 dn X=SinO aaa dO ৭-a-5.,e) V-Sinro A-nt dn faaa2aa)do =S Coredo 4

-4+Ca2 do =210 Sin22 Sin 29 29 2 sin Gro = 2 Sins + 2 ()1- Si 4 n2 Iut x Leer- tano X ec Seeo tamo do Seco tam do Eamta Prr eco tana do tan euo do Sinre 00

SCoro teeo do Sino Con se d 1 Sinzo LSinecae)do -2+1 Sina) t C -2+1 as teeo 1 Sin a Sino K2-1 + C