∫(-ln2->0)√(1-e^(2x))dxlete^x = sinye^x dx = cosy dydx = (cosy/siny) dyx=0 ,y= π/2x=-ln2,y =π/6∫(-ln2->0)√(1-e^(2x))dx=∫(π/6->π/2) [(cosy)^2/siny] dy=∫(π/6->π/2) [(1-(siny)^2)/siny] dy =∫...