Fundamental Theorem of Calculus

Related lectures (31)

Page 3 of 4

Covers improper integrals, their definitions, properties, and examples in two and three dimensions.

Covers the calculation of minimum points and the concept of definite integrals.

Covers the calculation of areas of regions in the plane using integrals and explores convex functions.

Covers the difference between definite and indefinite integrals and includes conceptual questions on kinetic energy, gravity, and motion.

Explores generalisations of functions and the concept of gradients in advanced analysis.

Explores differential calculation with hyperbolic functions and Taylor series, emphasizing the importance of signed areas in integrals.

Covers the concepts of definite and indefinite integrals and demonstrates the linearity of the integration operator.

Provides an overview of integral theorems and their applications in digital systems, focusing on iterated integrals and measure theory.

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.

Covers the Mean Value Theorem for integrals and its applications.