`int(sin2x)/(sin5x.sin3x)dx` का मान ज्ञात कीजिए ।

Explanation

माना
`I=int(sin2x)/(sin5x.sin3x)dx=int(sin(5x-3x))/(sin5x.sin3x)dx`
`=int(sin5x.cos3x-cos5x.sin3x)/(sin5x.sin3x)dx`
`=int(sin5x.cos3x)/(sin5x.sin3x)dx-int(cos5x.sin3x)/(sin5x.sin3x)dx`
`=intcot3x.dx-intcot5x.dx`
`=(1)/(3)log|sin3x|-(1)/(5)log|sin5x|+c`