A Solid with Square Cross-Sections
Difficulty: Medium · Topics: Calculus, Integration, Volume
Kesimlari kvadrat bo‘lgan jism
A solid has as its base the region bounded by the curve
y=√(x+1)/(x(x+ln x)),
the x-axis and the lines x=1 and x=e. Every cross-section perpendicular to the x-axis is a square. Find the volume of the solid.
Jismning asosi
y=√(x+1)/(x(x+ln x))
egri chiziq, x o‘qi hamda x=1 va x=e to‘g‘ri chiziqlar bilan chegaralangan soha. x o‘qiga perpendikulyar har bir kesim — kvadrat. Jism hajmini toping.