`int(dx)/(2x^(2)+x-1)` का मान ज्ञात कीजिए ।

Explanation

`int(1)/(2x^(2)+x-1)dx=(1)/(2)(1)/(x^(2)+(1)/(2)x-(1)/(2))dx`
`=(1)/(2)int(1)/((x^(2)+(1)/(2)x+(1)/(16))-((1)/(2)+(1)/(16)))dx`
`=(1)/(2)int(1)/((x+(1)/(4))^(2)-((3)/(4))^(2))dx`
`=(1)/(2).(1)/(2.(3)/(4))log|(x+(1)/(4)-(3)/(4))/(x+(1)/(4)+(3)/(4))|+c`
`=(1)/(3)log|(2x-1)/(2x+2)|+c`