Fundamental Theorem Of Calculus

Concept: Use the approximation for small , or apply L'Hôpital's rule.

Step 1: Apply L'Hôpital's rule. The limit is of the form . Differentiate numerator and denominator with respect to : For near 0, , so: Denominator: .

Step 2: Apply L'Hôpital again. Alternative method using approximation: