A-level · Integration

Volumes of revolutionExam-style questions

Finding the volume of a solid made by rotating a region about an axis. Slicing the solid into discs, which gives V = π∫y² dx; squaring before you integrate; rotating about the y-axis with V = π∫x² dy; limits that match the axis; the region between a curve and a line, as one volume minus another; and curves that become easier once squared.

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