# That's too much of work

Calculus Level 5

$$\displaystyle\int_0^{\pi/4}$$$$\dfrac{\ln(\cot \theta)}{\left((\sin \theta)^{2009}+(\cos \theta)^{2009}\right)^2}$$$$(\sin 2\theta)^{2008}$$ $$d \theta$$ = $$\dfrac{a^b \ln a}{c^a}$$

If the equation above is true, solve the for values of $$a,b,c$$ where $$a,b,c$$ are in their simplest form. Find the value of $$a+b+c$$.

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