sinx+cosx平方分之一的积分 ∫(sinx+cosx)^1/2dx =∫(sinx^2+2sinxcosx+cosx^2)^1/2dx =∫(1+2sinxcosx)^1/2dx =∫(1+2t)^1/2dt (t=sinxcosx) =∫(1+2t)^1/2dt (t=sinxcosx) =2/3(1+2t)^3/2+C =2/3(1+2sinxcosx)^3/2+C...