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Thread: Evaluate the integral?

  1. #1
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    Evaluate the integral?

    let A = ρ sinφ aρ + ρ2 aφevaluate ∮L A.dl for the contour L as show in the figure, please see attachment and guide me in detail. Thanks.
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  2. #2
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    Re: Evaluate the integral?

    Well what are your parameterisations for each part of the contour?
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    Re: Evaluate the integral?

    I have no idea....please help me
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    Re: Evaluate the integral?

    You must have done similar problems to this one in class and in your notes. The first step is to find a parameterisation for each part of the contour, then sum the integrals that you get from each part of the contour.
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    Re: Evaluate the integral?

    I did such questions like an year ago and now i have forgotten.........can you recommend any book or webpage?
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    Re: Evaluate the integral?

    Two legs are straight lines lying on the x-axis. Do you see that the angle $\displaystyle \Phi$ does not change, and only $\displaystyle \rho$, the distance from the origin does? Two of the legs are semi-circles with center at the origin. Do you see that $\displaystyle \rho$, the distance from the origin, does not change and only $\displaystyle \Phi$, the angle, changes?
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  7. #7
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    Re: Evaluate the integral?

    yeah thats great.....i can see that, what next.....just give me a startup for the calculations...i can hanlde the integration...i am just stuck with the............ formation of what to integrate!!!
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