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Need help with the integration of attached problem

  1. Jul 9, 2015 #1
    Kindly can someone tell me how can i integrate and plot the following formula as a function of time. while theta is changing from 1 to 20.
    also attached .docx file for convenience. Any kind of help or advice will be highly appreciable.
    integration problem.jpg
     

    Attached Files:

  2. jcsd
  3. Jul 9, 2015 #2

    berkeman

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    Staff: Mentor

    Where is the problem from? Is it for schoolwork?
     
  4. Jul 9, 2015 #3
    No its in my engineering design problem. I am just stuck here. I need to plot the graph for theta as a function of time. I am not really good in calculus to be honest.
    May be i can use matlab to solve !
     
  5. Jul 9, 2015 #4

    berkeman

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    Staff: Mentor

    What does that mean? An engineering design project for what year in university? An engineering project for work? Where do you work?
     
  6. Jul 10, 2015 #5

    HallsofIvy

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    It would strike me as an obvious first step to use the facts that [itex]sin(20- \theta)= sin(20)cos(\theta)- cos(20)sin(\theta)[/itex] and [itex]cos(20- \theta)= cos(20)cos(\theta)+ sin(20)sin(\theta)[/itex].

    That "20" looks strange for radian measure. If it is in degrees you should remember that [itex]\int sin(x)dx= -cos(x)+ C[/itex] and [itex]\int cos(x)= sin(x)+ C[/itex] only for x measured in radians.
     
  7. Jul 11, 2015 #6
    Yes that 20 is actually 20 degrees. should i convert it into radians which is 0.34906585 radians ?
     
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