Question Number 153112 by peter frank last updated on 04/Sep/21
$$\int_{−\pi} ^{\pi} \left(\mathrm{sin}\:^{\mathrm{75}} \mathrm{x}+\mathrm{x}^{\mathrm{125}} \right)\mathrm{dx}=\mathrm{0} \\ $$
Answered by puissant last updated on 04/Sep/21
$$\int_{−{a}} ^{{a}} {f}\left({x}\right){dx}=\mathrm{0}\:{if}\:{f}\left(−{x}\right)=−{f}\left({x}\right). \\ $$