Integration a level maths question

Discussion in 'Differentiation and Integration' started by Maths12, Nov 8, 2024.

  1. Maths12

    Maths12

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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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    Maths12, Nov 8, 2024
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  2. Maths12

    Alonzo

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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?
     
    Alonzo, Nov 9, 2024
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