$6 + \sin(x) = ?$

Use this :

$\displaystyle \int\limits_0^{\infty} \sin(x^n)dx = \sin(\frac{\pi}{2n})\Gamma(\frac{n+1}{n})$

And you will get $\boxed{22}$ .

Well, again overrated!

Just use the fact that $sin({x}^{7}) = \frac{{e}^{i{x}^{7}} - {e}^{-i{x}^{7}}}{2i}$

and then just some bashing you are done with the answer.