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math/ cal

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how do you integrate sin (x^2) dx?

  • math/ cal -

    There is a solution given here that uses complex numbers but gives a simple real answer which is correct:

    You might be able to get the same answer using integration by parts

  • math/ cal -

    The answer is
    (x/2) - (1/4)sin(2x)

    I don't see any easier way to get it than the "Euler" proof in the link I gave you

  • math/ cal -

    thank you for your answer, but this example problem is not the same as mine. the example problem is (sin (x))^2, in other words the whole quantity is squared. mine is just sin of x^2. any suggestions here?

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