e^(y)-e^(2)+sin(x)=0,y=ln(e^(2)-sin(x)),dy/dx=-cos(x)/(e^(2)-sin(x).
1).(x-1)^4/4|(-1,1)=(1-1))^4/4-(-1-1))^4/4=-4;
2).∫(下限为0,上限为5)|1-x|dx=-∫(下限为0,上限为1)x-1dx+
∫(下限为1,上限为5)x-1dx=-(x-1)^2/2|(0,1)+(x-1)^2/2|(1,5)=17/2;
x√x^2是奇函数,所以∫(下限为-2,上限为2)x√x^2dx=0