Find the lenght of the following line: \(\displaystyle \Gamma : x+y+ln(x+y)=1 \) between \(\displaystyle A(0,1)\) and \(\displaystyle B(1,0)\).
Can you please tell me how can I do that? Is there a formula?
EDIT:
The answer should be: \(\displaystyle l=\pi \sqrt{1+17\pi ^{2}}+\frac{1}{4}(1+\pi ^{2})ln\left (\frac{4\pi+ \sqrt{1+17\pi ^{2}} }{\sqrt{1+\pi ^{2}}} \right )\)
but how?
Can you please tell me how can I do that? Is there a formula?
EDIT:
The answer should be: \(\displaystyle l=\pi \sqrt{1+17\pi ^{2}}+\frac{1}{4}(1+\pi ^{2})ln\left (\frac{4\pi+ \sqrt{1+17\pi ^{2}} }{\sqrt{1+\pi ^{2}}} \right )\)
but how?
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