If you do not know what substitution to make, try reducing the integral step by step, using a trial substitution to simplify the integral a bit and then another to simplify it some more. You will see what we mean if you try the sequences of substitution.

a. u = tan x, followed by y = v³, then by w = 2 + v

b. u = tan³ x, followed by v = 2 + u

c. u = 2 + tan³ x

Transcribed Image Text:

J 18 tan²x sec² x (2 + tan³x)² -dx