I want to obtain the result of this integral where $\mathbb{R}\ni a,x>0$
$$\int{\sqrt{a^2 \left(\sin{a x}-2 \sin{2 a x}\right)^2+1} \, \mathrm{d}x}$$
but Mathematica does not give an answer. Of course, NIntegrate
works for a given parameter $a$, but I am interested in a general result in terms of $a$.
Integrate[Sqrt[1 + a^2 (Sin[a x] - 2 Sin[2 a x])^2], x]
Any comments are appreciated.
NIntegrate
results would be helpful too. $\endgroup$ – Gravifer Feb 9 at 18:15