Question

Ques-∫sinxcosx dx
I did it like this, Let, sinx=z
or,d/dx (sinx)=dz/dx
or,cosx=dz/dx
or,cosx dx=dz
Now,∫sinxcosx dx=∫z dz
=(z^1+1/1+1 )+c
=z^2/2 +c
= sin^2x/2 +c
Is this correct?

Answer 1

yes

Answer 2

thank you