Stirling's formula: Euler's integral and Gaussian integral

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Exponential Functions: Properties and Logarithms

Explores exponential functions, their properties, and the relationship with logarithmic functions.

Limit of a Sequence

Simplifies limit calculations by applying properties of logarithms and exponentials.

Integration and Transformations

Covers the calculation of definite integrals and different coordinate systems.

Riemann Sums and Definite Integrals

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

Limits and Exponential Functions

Explores limits, exponential functions, and logarithms properties.

Part-based Integration Examples

Showcases step-by-step examples of part-based integration for functions like e^x and ln(x).

Properties of Natural Logarithm

Explores the properties of the natural logarithm function and its graphical representation.

Natural Logarithm: Definition and Properties

Delves into the definition, geometric interpretation, and properties of the natural logarithm, including its continuity and behavior as x approaches infinity or zero.

Coordinate Systems: Polar, Cylindrical, Spherical

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Exponential Function: Properties and Definitions

Explores the properties and definitions of the exponential function and its inverse, the natural logarithm.