if n mod 2=0 then write('Четное')
else write('Не четное');
Решение<span>: применим метод замены независимой переменной для решения интеграла </span><span>x=<span>2√</span>sin(t)<span>=></span>dx=<span>2√</span>cos(t)dt</span>, получаем<span>∫<span><span>x2</span><span><span>2−<span>x2</span></span><span>−−−−−</span>√</span></span>dx=∫<span><span>2<span>sin2</span>(t)</span><span><span>2−2<span>sin2</span>(t)</span><span>−−−−−−−−−−</span>√</span></span><span>2√</span>cos(t)dt=</span><span>=∫<span><span>2<span>sin2</span>(t)</span><span><span>2√</span>cos(t)</span></span><span>2√</span>cos(t)dt=∫2<span>sin2</span>(t)dt=</span>
<span><span>= arcsin(<span>x<span>2√</span></span>)−<span>12</span>sin(2arcsin(<span>x<span>2√</span></span>))+C=</span></span>