Name: Integrals of Vector Functions
Uploaded: 2025-10-10T17:42:20+00:00
Duration: 13 min 3 s
Description: In this video I go over integrals for vector functions and show that we can evaluate it by integrating each component function. This also means that we can extend the Fundamental Theorem of Calculus t

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In this video I go over integrals for vector functions and show that we can evaluate it by integrating each component function. This also means that we can extend the Fundamental Theorem of Calculus to continuous vector functions to obtain the definite integral. I go over a quick example on integrating a vector function by components, as well as evaluating it between two given points.

#math #vectors #calculus #integrals #education

Timestamps:

- Integrals of Vector Functions: 0:00
- Notation of Sample points: 0:29
- Integral is the limit of a summation for each component of the vector function: 1:40
- Integral of each component function: 5:06
- Extend the Fundamental Theorem of Calculus to continuous vector functions: 6:23
- R is the antiderivative (indefinite integral) of r : 7:11
- Example 5: Integral of vector function by components: 7:40
- C is the vector constant of integration: 9:01
- Definite integral from 0 to pi/2: 9:50
- Evaluating the definite integral: 12:10