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Math Help - Second Fundamental Theorem

  1. #1
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    Second Fundamental Theorem

    I need help with his problem. The integral is 2 through X and for Cos t/t solve using the second fundamental theorem?

    The other one is 1 through 3x^2 for tan t

    sorry I am new here and dont know how to use the integrand sign.
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  2. #2
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    Quote Originally Posted by Iron Angel View Post
    I need help with his problem. The integral is 2 through X and for Cos t/t solve using the second fundamental theorem?
    Are you tryin' to find the derivative of

    f(x)=\int_2^x\frac{\cos t}t\,dt?

    In that case we have

    f'(x)=\frac{\cos x}x, and we're done.

    Quote Originally Posted by Iron Angel View Post
    The other one is 1 through 3x^2 for tan t
    Apply the same as the previous problem.
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  3. #3
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    yeah that is exactly what i was looking for thanks!!. So on the second one it would be 6x tan 3x^2 because of the chain rule.
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  4. #4
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    That's correct.
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