Question

When n is even, integrals of the form ∫tan^m(x)sec^n(x) dx can be evaluated by factoring out sec^2(x)=1+tan^2(x) and using the fact that Dx tanx=sec^2(x). When m is odd, integrals of this form can be evaluated by factoring out tanxsecx and using the fact that Dx secx=secxtanx. Use this method to evaluate the following integral: ∫tan^(-3/2)(x) sec^4(x) dx