Fundamental Theorem of Analysis: Integral (1st part)

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (32)

Page 1 of 4

Derivative of an Integral

Covers the derivative of an integral dependent on a parameter and its fundamental properties.

Integrals of Functions

Covers integrals as the reciprocal function of the derivative and explains displacement integral of velocity and variation of speed and acceleration in rectilinear motion.

Derivative of an Integral with Parameter

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Differential Calculation: Hyperbolic Functions

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

Exact Linearization: Earth Dynamics and Stabilization

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

Riemann Integral: Techniques and Fundamentals

Explores Riemann integrability, the fundamental theorem of integral calculus, and various integration techniques.

Definite Integrals: Properties and Interpretation

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

Riemann Sums and Definite Integrals

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Integral: Motivation

Covers the motivation behind indefinite integrals and the non-injectivity of the derivative operator.

Jacobian Matrix and Change of Variables

Covers Jacobian matrix, composite function derivative, change of variables, and integral derivative.