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Math Help - antiderivative

  1. #1
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    antiderivative

    HI I think I am getting more lost as the day progresses.

    Basically I have the definite integral sign (sin t^1/2)/(t^1/2)

    so I know the antiderivative of sin t^1/2 = -cos t^1/2 + C but I don't know if I need to do something with the ^1/2 on the numerator and I don't know what to do with the denominator

    Any direction would be greatly appreciated.

    This calculus beginner
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  2. #2
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    Quote Originally Posted by calcbeg View Post
    HI I think I am getting more lost as the day progresses.

    Basically I have the definite integral sign (sin t^1/2)/(t^1/2)

    so I know the antiderivative of sin t^1/2 = -cos t^1/2 + C

    no, it's not

    but I don't know if I need to do something with the ^1/2 on the numerator and I don't know what to do with the denominator

    Any direction would be greatly appreciated.

    This calculus beginner
    method of substitution

    u = \sqrt{t}

    du = \frac{dt}{2\sqrt{t}}
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