Question

Evaluate.

| 10.2% +9.+1 2.23 + 3.72 +

PLease show how you got the answer.

Answer 1

is sol" The given integral function ( 1012 + 9 + 1 die 2x3 + 3x2 + x factor the denominator I 10x +94 + ax */*c+1) (2x+1) Partial fraction decomposit using 4 ha, de + 2 Sat, due to dee Now solving It als let u= 2ut then du = 2 de=tele 22+1 ol - In 14) Undo substitution uz 2x+1 in de+1) Now solving I de ket let substitute ez xet1 then de = 1 cza dy

Undo a= 2+1 substitution in (>1+1) Now solving 11 de > Ins) Plug in solved integsal Van de + d l abi +dx = 2 10 (8k+ 1) +2lm +1) + 1n1n) therefore 10 4 2 + 9x + 1 dx = 21n 12x+1) + 2ln(x+1)+ln(x) + C Am 2x² + 3x2 +