Question: (a) Write tan x dx in terms of tan x dx. Then find tan x dx. (b) Write tan 5 x

(a) Write ∫ tan³ x dx in terms of ∫ tan x dx. Then find ∫ tan³ x dx.

(b) Write ∫ tan5 x dx in terms of ∫ tan³ x dx.

(c) Write ∫ tan2k+1 x dx, where k is a positive integer, in terms of ∫ tan2k-1 x dx.

(d) Explain how to find ∫ tan¹5 x dx without actually integrating.

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