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Math Help - Integrals with trigonometric functions

  1. #1
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    Integrals with trigonometric functions

    Hello folks,
    i have a bad relationship with trigonometric functions so if i find them into my integrals i can get pretty mad.

    Now i have this bad boy:
    \int \frac{1}{1+2cos(t)} dt
    which i can't find any way to solve.

    I hope you will be able to open my mind, well i'm sure you will.
    Thanks in advance,

    SkyWolf.
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  2. #2
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    Re: Integrals with trigonometric functions

    Quote Originally Posted by SkyWolf View Post
    Hello folks,
    i have a bad relationship with trigonometric functions so if i find them into my integrals i can get pretty mad.

    Now i have this bad boy:
    \int \frac{1}{1+2cos(t)} dt
    which i can't find any way to solve.

    I hope you will be able to open my mind, well i'm sure you will.
    Thanks in advance,

    SkyWolf.
    The usual approach is to use the Weierstrass substitution: Weierstrass substitution - Wikipedia, the free encyclopedia

    This substitution will also be explained, with examples, in your class notes and textbook.

    If you need more help, please show all your work and say where you are stuck.
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