Integration Rules

This animation visually demonstrates how the power rule for integration is derived by showing that the area under the curve y = x² from 0 to b is always one-third of the bounding rectangle, leading to the general formula ∫xⁿ dx = xⁿ⁺¹/(n+1) + C. It also highlights the special case where n = -1, which requires the natural logarithm instead of the standard power rule.