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Math Help - Integration

  1. #1
    Member CalcGeek31's Avatar
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    Integration

    If F(x) = integral((-12sin(x))/ (cos^2(x))dx) + C F(0)= -4 Find C

    Im sorry I dont know how to type for the integral symbol.

    I would like to know how to start this problem. An explanation would be great.
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  2. #2
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    Quote Originally Posted by CalcGeek31 View Post
    If F(x) = integral((-12sin(x))/ (cos^2(x))dx) + C F(0)= -4 Find C

    Im sorry I dont know how to type for the integral symbol.

    I would like to know how to start this problem. An explanation would be great.
    Let  u = \cos x and transform the integral to one that is solvable.
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  3. #3
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    F(x) = \int \frac{-12\sin{x}}{\cos^2{x}} dx + C<br />

    F(x) = -12\int \sec{x} \tan{x} \, dx + C

    can you finish?
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  4. #4
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    Quote Originally Posted by skeeter View Post
    F(x) = \int \frac{-12\sin{x}}{\cos^2{x}} dx + C<br />

    F(x) = -12\int \sec{x} \tan{x} \, dx + C

    can you finish?
    Definitely easier than mine.
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  5. #5
    Member CalcGeek31's Avatar
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    but when you take that integral wouldnt it get -12(answer to integral) + C+ C or can you combine the C's
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  6. #6
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    Quote Originally Posted by CalcGeek31 View Post
    but when you take that integral wouldnt it get -12(answer to integral) + C+ C or can you combine the C's
    C is arbitrary (at first) so they can be combined.
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