- #1
rapmasterj729
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Hello, I am attempting to do a radiolgoical dose over equivalent fields problem. I have the following integral that I am trying to show each step for but am getting tricked up after the first integration. Any help would be greatly appreciated:
∫∫((1/√((x^2)+(y^2)))-μ')dxdy (μ' is a constant)also note the limits on X:0→L, and Y:0→W
Solution: 2L*ln((D+W)/L)+2W*ln((L+D)/W)+μ'LW (where D=sqrt((W^2)+(L^2)))
n/a
I can get through the first integration:
∫asinh((L/y)-μ'L)dy
Not sure what to do with the arcsinh, maybe express as logarithm?
Homework Statement
∫∫((1/√((x^2)+(y^2)))-μ')dxdy (μ' is a constant)also note the limits on X:0→L, and Y:0→W
Solution: 2L*ln((D+W)/L)+2W*ln((L+D)/W)+μ'LW (where D=sqrt((W^2)+(L^2)))
Homework Equations
n/a
The Attempt at a Solution
I can get through the first integration:
∫asinh((L/y)-μ'L)dy
Not sure what to do with the arcsinh, maybe express as logarithm?