Integral Calculus: Definite and Indefinite Integrals

Related lectures (32)

Page 3 of 4

Covers the integration of rational functions and partial fraction decomposition, explaining how to handle complex roots.

Explains numerical integration through quadrature formulas and methods like Simpson's formula.

Covers the properties of definite integrals and their implications through examples.

Covers improper integrals techniques and examples, exploring convergence and absolute convergence.

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

Covers the development of integration techniques and the application of generalized integrals.

Covers improper integrals with singularities and infinite intervals.

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

Covers examples of definite and indefinite integrals, demonstrating how to evaluate them approximately.

Explores integral calculus fundamentals, including antiderivatives, Riemann sums, and integrability criteria.