Question #ccb06
1 Answer
Dec 23, 2017
Correction:
can not be integrated and expressed in commonly known functions.
Explanation:
It is not clear whether the integration is
1.
2.
Either way, use the identity
Correction, an error is identified in above identity
It should be
Hence the following solutions are not long valid.
-
#int ((cosx-sinx)^2dx)/(cosx+sinx)#
=#cancel(int ((cosx-sinx)(cosx+sinx)dx)/(cosx+sinx)#
=#cancel(int (cosx-sinx)dx)# =#cancel( int d(sinx+cosx)#
=#cancel (sinx + cosx + c # -
#int (x(cosx-sinx)^2dx)/(cosx+sinx)#
=#cancel (int x(cosx-sinx)dx)#
=#cancel (int x d(sinx+cosx)#