Bobosharif S. answered • 02/19/18

Tutor

4.4
(32)
PhD in Math, MS's in Calulus

Make subsitution y=cos2t. Then √[(1+y)/(1-y)]=cot(t), dy=2sin(2t).

Since -1≤y≤0, -π/4≤y≤-π/2 and

∫

_{-1}^{0}√[ (1+y)/(1-y) ]dy=-4∫_{-π/4}^{-π/2}cos^{2}(t) dt=/ I guess you can evaluate it/