`intx sin^(2)x dx` का मान ज्ञात कीजिए ।

Explanation

`intx sin^(2)xdx`
`=int(x.(1-cos2x))/(2)dx`
`=(1)/(2)int xdx-(1)/(2)int x cos 2x dx`
`=(1)/(2).(x^(2))/(2)-(1)/(2)[x int cos2x dx- int{(d)/(dx)x int cos 2x dx}dx]`
`(x^(2))/(4)-(1)/(2)[x.(sin2x)/(2)-int1.(sin2x)/(2)dx]`
`=(x^(2))/(4)-(1)/(4)x sin 2x+(1)/(4).((-cos 2x)/(2))+c`
`=(x^(2))/(4)-(1)/(4)x sin 2x-(1)/(8)cos 2x+c`