I'm trying to find a function for x in [0, L] that minimizes this:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_0^{L} A \phi(x) \frac{ d \phi(x) }{dx} + B cos(\phi(x))\ d\mbox{x} [/tex]

For real (given) positve numbers A and B.

with

[itex] \phi(0) = 0 [/itex]

[itex] \phi(x) [/itex] is an increasing positve function.

Can somebody point me in the right direction?

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# Minimization with cos

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