If ∫ tan^3 x . sec^3 x . dx = (1/m) sec^m x - (1/n) sec^n x + c,

Question

If \(\int tan^3 x . sec^3 x . dx \) \(= (1/m) sec^m x - (1/n) sec^n x + c,\) then (m, n) =

If ∫ tan³x . sec³x . dx = (1/m) sec^mx - (1/n) secⁿx + c,

(a) (5, 3) 

(b) (3, 5)

(c) \((\frac{1}{5},\,\frac{1}{3})\)

(d) (4, 4)

Answer 1

Correct answer is (a) (5, 3)