π + e

camilus

the villain with x-ray glasses
Registered Senior Member
$$\int^{6}_{0} \sqrt{1-n^2x^2}dx=\pi+e$$

can anyone solve this for n??
 
No problem.

$$3\sqrt{1-36n^2}+\frac{\sin^{-1}(6n)}{2n}=\pi+e$$

There ya go.
 
Thats the easy part D, try solving for the exact value of n. I obtained

$$n \approx {10000000 \over 162011025}$$
 
Actually, I'm starting to believe n may be transcedental. I dont know how but maybe that could imply e+pi is transcedental?
 
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