Find the integrals of the functions. ∫sin2x1+cosxdx.
∫sin2x1+cosxdx=∫(1−cos2x)(1+cosx)dx (∵sin2x=1−cos2x)=∫(1+cosx)(1−cosx)(1+cosx)dx=∫(1−cosx)dx=∫1dx−∫cosxdx=x−sinx+C
Find the integrals of the functions. ∫(1−cosx)1+cosxdx.
Integrate the following functions. ∫sinx1+cosxdx.