Question

高数高等数学微积分。。。求大神解答。。图上两道题求详细过程

Answer 1

1.    ∫dx/(sinxcosx) = ∫2dx/sin2x

   =  ∫csc2xd2x = ln|csc2x-cot2x| + C

2.   ∫(sinx)^3dx =  -∫(sinx)^2dcosx 

   =  -∫[1-(cosx)^2]dcosx

   = -cosx + (1/3)(cosx)^3 + C

Answer 2

1 ∫dx/(sinxcosx) = ∫2dx/sin2x
= ∫csc2xd2x = -ln|csc2x+cot2x| + C
∫(sinx)^3dx = -∫(sinx)^2dcosx
= -∫[1-(cosx)^2]dcosx
= (1/3)(cosx)^3-cosx + C