设以下曲线都是连续的,用定积分求
平面图面积
1.曲线围成的面积


2.射线与曲线围成的面积


旋转体体积
1.曲线y=y(x)与x=a,x=b(a<b)以及x轴围成的图形,绕x旋转一周得到的旋转体体积

2.曲线y=y1(x)≥0与y=y2(x)≥0及x=a,x=b(a<b)围成的图形,绕x旋转一周得到的旋转体体积

3.曲线y=y(x)与x=a,x=b(a<b)以及x轴围成的图形,绕y旋转一周得到的旋转体体积

4.曲线y=y1(x)与y=y2(x)及x=a,x=b(0≤a≤b)围成的图形,绕y旋转一周得到的旋转体体积

函数的平均值
x∈[a,b],则y(x)在[a,b]上的平均值为
