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Math Help - Integrating

  1. #1
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    Integrating

    I don't know how to do the attached question although I do know the general formula to use.
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  2. #2
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    Quote Originally Posted by Stuck Man View Post
    I don't know how to do the attached question although I do know the general formula to use.
    let x=9+t
    then
    dx = dt
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  3. #3
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    I don't understand.
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  4. #4
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    Quote Originally Posted by Stuck Man View Post
    I don't understand.
    Note that dt = d(t+9) or d( t + any constant) So you can now have it look like dx/x^2.
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  5. #5
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    Quote Originally Posted by Stuck Man View Post
    I don't know how to do the attached question although I do know the general formula to use.
    Let u = t+9

    du = dt

    Therefore, when we sub in these values:

    \int \frac{dt}{(t+9)^2} = \frac{du}{u^2}

    That is a much simpler integral, Remember to put in the constant of integration and sub t for u in the integrated expression
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  6. #6
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    This is more complicated that what I've learnt to do. I can see now its only the notation that confused me. I have came across this before. Instead of writing 1 on the top line dt has been placed there.
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