`int_(0)^(pi//4)sin 2x sin3xdx` का मान ज्ञात कीजिए।

Explanation

`int_(0)^(pi//4)sin 2x sin 3x dx`
`=(1)/(2)int_(0)^(pi//4)(2sin 3x sin 2x)dx`
`=(1)/(2) int_(0)^(pi//4)(cosx-cos5x)dx`
`=(1)/(2)[sinx-(1)/(5)sin 5x]_(0)^(pi//4)`
`=(1)/(2)[(sin.(pi)/(4)-(1)/(5)sin.(5pi)/(4))-(sin 0 - (1)/(5)sin 0)]`
`=(1)/(2)[((1)/(sqrt2)+(1)/(5sqrt2))-0]=(3)/(5sqrt2)`