PG entrance exam CUET PG 2025 Mock Test Engineering Mathematics Calculus Theorems of Integral Calculus
The value of \(\smallint \frac{{{\rm{dx}}}}{{\sin {\rm{x}}\cos {\rm{x}}}}\) is equal to
1
\(\log \tan {\rm{x}} + {\rm{c}}\)
2
\(\log \tan \left( {\frac{{\rm{x}}}{2} + \frac{{\rm{\pi }}}{8}} \right) + {\rm{C}}\)
3
\(\frac{1}{2}\log \tan \left( {\frac{{\rm{x}}}{2} + \frac{{\rm{\pi }}}{8}} \right) + {\rm{C}}\)
4
\(\frac{1}{{\sqrt 2 }}\log \tan \left( {{\rm{x}} + \frac{{\rm{\pi }}}{4}} \right) + {\rm{C}}\)