微积分数学题,求体积

题目

微积分数学题,求体积
find the volume of the solid whose base is the region bounded by y=x^4,y=1,and the y-axis and whose cross-sections perpendicular to the x-axis are semicircles.
volume=?

答案

It seems the solid is the result of rotating the area bounded by y = x^4, y = 1, and y-axis (9n 1st quadrant) around y = 1 by 180 degrees.y = 1 and y = x^4, x^4 = 1, x = 1At x (0