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Math Help - Urgent Help Needed: solving integration

  1. #1
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    Urgent Help Needed: solving integration

    Hello I am trying to solve for Tf in the problem below. Ti = 298, Pf = 10, Pi =1

    Integration from Ti to Tf of (Cp/T)dt = integration of Pi to Pf dP/P, where Cp = 22.243 + 5.97710^-2*T - 3.499*10^-5*T^2 + 7.464*10^-9*T^3

    I am stuck at:
    Evalution from 298 to Tf for Ln (Tf/298) - 3.499*10^-5/2*Tf^2 + 7.464*10^(-9)/3*Tf^3 + 5.979*10^-2*Tf = 19.23
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  2. #2
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    I just can't read this. So many decimals and confusing coefficients. Try writing in Latex. Use the "math" tags. Here is a model that will help you. Click on the image for the code and substitute your own information as needed.

    \int_{a_0}^{a_f} \frac{x^2+x+1}{5}dx
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  3. #3
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    Urgent Help Needed: solving integration

    Thank you for the reply!

    What is the best way to get Latex? I have surfed around and it seems that I will be required to pay a fee. Can you send me a link to a free download of Latex?

    Thanks,

    Gordon
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  4. #4
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    Urgent Help Needed: solving integration

    I decided to attach the problem written with microsoft equation editor, while I wait to hear from you regarding the use of Latex.

    Thanks, GN
    Attached Thumbnails Attached Thumbnails Urgent Help Needed: solving integration-urgenthelp-integral-evalution.gif  
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  5. #5
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    Quote Originally Posted by gnameni View Post
    Thank you for the reply!

    What is the best way to get Latex? I have surfed around and it seems that I will be required to pay a fee. Can you send me a link to a free download of Latex?

    Thanks,

    Gordon
    LaTeX Online Equation Editor
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  6. #6
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    <br />
\int_{Ti}^{Tf}\left(\frac{Cp}{T} \right)dT=\int_{Pi}^{Pf}\left(\frac{dP}{P} \right)<br />
    <br />
Where Cp(T) = 2.243+5.977\bullet {10}^{-2}T - 3.499\bullet {10}^{-5}{T}^{2} + 7.464\bullet {10}^{-9}{T}^{3}<br />
    <br />
{T}_{i}=298, {P}_{i}=1, {P}_{i}=10<br />
    <br />
solve for {T}_{f}<br />
    <br />
\int_{Pi}^{Pf}\left(\frac{dP}{P} \right)= ln \left(\frac{{P}_{f}}{{P}_{i}} \right)=2.3
    <br />
\left(\frac{Cp}{T} \right)= 22.243\bullet {T}^{-1} - 3.499\bullet {10}^{-5}T + 7.464\bullet {10}^{-9}{T}^{2}+5.979\bullet {10}^{-2}dT
    <br />
\int_{298}^{Tf}\left(\frac{Cp}{T} \right)dT = 22.243ln\left(\frac{{T}_{f}}{298}\right) - 3.499\bullet {10}^{-5}\frac{{T}^{2}}{2} + 7.464\bullet {10}^{-9}\frac{{T}^{3}}{3} + 5.979\bullet {10}^{-2}T
    22.243ln\left(\frac{{T}_{f}}{298}\right) - \frac{3.499\bullet {10}^{-5}}{2}\left( {{T}_{f}}^{2}-{{298}^{2}}\right) +
    \frac{7.464\bullet {10}^{-9}}{3}\left( {{T}_{f}}^{3}-{{298}^{3}}\right) + 5.979\bullet {10}^{-2}\left( {{T}_{f}}-{{298}}\right)=2.3

    This is where I am stuck. Can someone walk me through how to solve for  {T}_{f} ?
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  7. #7
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    Urgent Help Needed! solving integration

    Can someone PLEASE help me solve this integration!? Or, just point me to more resources that I can use to solve the problem! Is anyone familiar with Maple? I need to solve this problem in the next 3 hours!

    Thank you! Thank you!
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