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Math Help - Confused by integration!

  1. #1
    Newbie
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    Unhappy Confused by integration!

    How to integrate the equation below? thx i am confused and my brain is filled with murky glue!(

    (secx+tanx)dx (sorry the front symbol i dont know how to type in)
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Since you have a sum, integrate each term separately:

    \int {\sec x\,dx} = \int {\sec x \cdot \frac{{\sec x + \tan x}}<br />
{{\sec x + \tan x}}\,dx} .

    And for the another piece \int {\tan x\,dx} = \int {\frac{{\sin x}}<br />
{{\cos x}}\,dx} = - \int {\frac{{(\cos x)'}}<br />
{{\cos x}}\,dx} .
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  3. #3
    GAMMA Mathematics
    colby2152's Avatar
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    \int sec(x)+tan(x)dx = \int \frac{1+sin(x)}{cos(x)}dx

    A good way to start with these is to put everything into sines and cosines.
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