`intsinsqrt(x)dx=?`

Explanation

Put `sqrt(x)=t" so that "(1)/(2sqrt(x))dx=dtordx=2tdt`.
`:.intsin sqrt(x)dx=2inttsintdt=2[t(-cost)-int1*(-cost)dt]" [integrating t sin t by parts]"`
`=-2tcost+2sint+C`
`=-2sqrt(x)cossqrt(x)+2sinsqrt(x)+C`.