it can also be written as,
-∫ tan(Ï€/4-√x)dx
now put √x=t
& apply integration be parts...............
it can also be written as,
-∫ tan(Ï€/4-√x)dx
now put √x=t
& apply integration be parts...............
sin-√x + cos-√x = pi/2
so the integration boils down to..
∫pi/2 - 2cos-√x / pi/2 dx = ∫dx - ∫4cos-√x / pi dx
now simple by parts..