(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

By multiplying the integrand sec x dx by [tex]\frac{tan x + sec x}{tan x + sec x}[/tex] find the integral of sec x dx

2. Relevant equations

d/dx sec x = tan x.sec x

d/dx tan x = sec^2 x

3. The attempt at a solution

sec x dx([tex]\frac{tan x + sec x}{tan x + sec x}[/tex]) =>

[tex]\frac{tan x.sec x + sec^2 x}{tan x + sec x}[/tex]dx

Just noticed the numerator is the derivative of the denominator, so =>

[tex]\frac{d(sec x + tan x)}{sec x + tan x}[/tex]dx

Not sure what to do from here...

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# Homework Help: Integrating sec x dx

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