# A mere word will reveal the solution

Calculus Level 3

$\large \displaystyle \int_{{121 \pi} / {6}}^{{61 \pi} / {3}} (\cos x + \sin x) \, dx$

If the integral above can be expressed as $$\displaystyle \frac{a}{1+\sqrt{b}}$$, what is the value of $$a+b$$?

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