Question

reduction formula
∫sec^4x dx

Answer 1

\[\int\limits \left( \sec ^{2}x \right)\left( \sec ^{2}x \right) dx=\int\limits \left( 1+\tan ^{2}x \right)\sec ^{2}x~dx\]
now you can solve.

Answer 2

Thank you :)

Answer 3

the answer is tanx+tan^3x/3+c?

Answer 4

@surjithayer

Answer 5

correct,but it looks you have written x/3
\[\frac{ \tan ^{3}x }{ 3 }\]

Answer 6

sorry :)