imranq
Sep21-08, 01:28 PM
1. The problem statement, all variables and given/known data
\int{\frac{\sec^6{x}}{\tan^2{x}}}
2. Relevant equations
3. The attempt at a solution
\int{\frac{(\tan^2{x}+1)^3}{\tan^2{x}}
which simplifies to:
\int{\tan^4{x} + \cot^2{x} + 3\sec^2{x}}
There has to be an easier way.
\int{\frac{\sec^6{x}}{\tan^2{x}}}
2. Relevant equations
3. The attempt at a solution
\int{\frac{(\tan^2{x}+1)^3}{\tan^2{x}}
which simplifies to:
\int{\tan^4{x} + \cot^2{x} + 3\sec^2{x}}
There has to be an easier way.