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Math Help - trigonometric integral

  1. #1
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    trigonometric integral

    how to solve this integral
    dt/(cost)^3
    ?
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  2. #2
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    Quote Originally Posted by transgalactic View Post
    how to solve this integral
    dt/(cost)^3
    ?
    See here: integrate 1/(Cos[x])^3 - Wolfram|Alpha

    Click on Show steps. The reduction formula can be found using integration by parts.
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  3. #3
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    how to solve it by parts??
    what parts
    ?
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  4. #4
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    Quote Originally Posted by transgalactic View Post
    how to solve it by parts??
    what parts
    ?
    Use Google: Integration by parts.

    (But surely you have been taught the technique ....?!)
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  5. #5
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    yes i hav been taught but i cant see how to apply it here
    so it will be effective
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  6. #6
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    Quote Originally Posted by transgalactic View Post
    yes i hav been taught but i cant see how to apply it here
    so it will be effective
    Have you even tried ....?

    u = sec(x) => du = ....
    dv = sec^2(x) dx => v = ......

    You get I = ..... + int( ......) dx = ....... - I + int sec(x) dx => first step from Wolframalpha.

    All the .....'s are things you need to fill in.
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