\(\int {\sqrt {{\rm{1 + }}\,{\rm{sec}}\,{\rm{x}}} \,{\rm{dx}}} \) equals
1
sin-1\(\left[ {\sqrt {\rm{2}} \,{\rm{sin}}\,\frac{{\rm{x}}}{{\rm{2}}}} \right]\) + C
2
\(\frac{1}{{\sqrt 2 }}\) sin-1\(\left[ {\sqrt {\rm{2}} \,{\rm{sin}}\,\frac{{\rm{x}}}{{\rm{2}}}} \right]\) + C
3
2 sin-1\(\left[ {\sqrt {\rm{2}} \,{\rm{sin}}\,\frac{{\rm{x}}}{{\rm{2}}}} \right]\) + C
4
\(\sqrt {\rm{2}} \,{\rm{co}}{{\rm{s}}^{{\rm{ - 1}}}}\left[ {\sqrt {\rm{2}} \,{\rm{cos}}\frac{{\rm{x}}}{{\sqrt {\rm{2}} }}} \right]\) + C