Question Number 186171 by normans last updated on 01/Feb/23
![[so easy] ∫ cos^2 (4x) + sin^4 (2x) dx](Q186171.png)
$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left[\boldsymbol{{so}}\:\boldsymbol{{easy}}\right] \\ $$$$\:\:\:\:\:\:\:\int\:\boldsymbol{{cos}}^{\mathrm{2}} \:\left(\mathrm{4}\boldsymbol{{x}}\right)\:+\:\boldsymbol{{sin}}^{\mathrm{4}} \:\left(\mathrm{2}\boldsymbol{{x}}\right)\:\boldsymbol{{dx}}\:\:\: \\ $$$$ \\ $$
Answered by MJS_new last updated on 02/Feb/23
$$\mathrm{easy}−\mathrm{cheesy}: \\ $$$$\int\mathrm{cos}^{\mathrm{2}} \:\mathrm{4}{x}\:+\mathrm{sin}^{\mathrm{4}} \:\mathrm{2}{x}\:{dx}= \\ $$$$=\frac{\mathrm{5}}{\mathrm{64}}\mathrm{sin}\:\mathrm{8}{x}\:−\frac{\mathrm{1}}{\mathrm{8}}\mathrm{sin}\:\mathrm{4}{x}\:+\frac{\mathrm{7}}{\mathrm{8}}{x}+{C} \\ $$