Question

Q.15) Integrate with respect to x
of
1 + cos 2x​

Answer 1

Answer:

x+(sin2x/2)

Step-by-step explanation:

Answer 2

∫x1+cos2xdx

∫x1+2cos2x−1dx

12∫xcos2xdx

12∫xsec2xdx

12(x∫sec2xdx−∫ddx(x)∫sec2xdxdx)

12(xtanx−∫tanxdx+C1)

12(xtanx+ln|cosx|+C2)

xtanx2+lncosx−−−−√+C3

∫x1+cos2xdx=xtanx2+lncosx−−−−√+C