`(sinx)/(sin(x-a))`

Explanation

माना`" " x-a=t`
`rArr" "dx=dt`
`int(sinx)/(sin(x-a))dx=int(sin(t+a))/(sint)dt`
`" "=int(sint cosa+cost sina)/(sint)dt`
`" "=int(cosa+sinacott)dt`
`" "=cos a int1dt+sin a int cot t dt`
`" "=t cos a +sina log |sint|+c_(1)`
`" "=(x-a)cosa+sina. log|sin(x-a)|+c_(1)`
`" "=x cosa+sinalog|sin(x-1)|+c_(1)-acosa`
`" "=x cos a +sina log|sin(x-a)|+c.`
`" जहाँ "c=c_(1)=-a cosa.`