I'm supposed to convert the even powers of tangent to secant using a recursion formula, repeatedly if necessary, and then evaluate.
Here are to two problems:
∫ tan^2(x)sec(x) dx
∫ tan^4(x)sec(x) dx
Here is the recursion formula:
∫ sec^n(x) dx = (tan(x)sec^(n-2)(x))/(n-1) - ((n-2)/(n-1))⋅∫ sec^(n-2)(x) dx
I'm not sure how to go about this, so can someone please help me? Thanks!