Integration a level maths question

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Please show a stepnby step solution to find the answer to question 2. I don't know how to work it out.
 

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Starting with the hint u = sec x, then du = (tan x) (sec x) dx.
Rewrite the integrand as (sec^3 x) (sec x) (tan x) dx.
Now do the u replacement and what do you get?
Can you continue from this point?
 

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