The word "more integrable" is spelled with the IPA transcription /mɔːr ɪnˈtɛɡrəbəl/. The first syllable "more" is pronounced with a long o sound, followed by the stressed syllable "in" with a short i sound. The next two syllables "tegra" are pronounced with a long e sound and a soft g sound. The final syllable "ble" is pronounced with a stressed schwa sound. Overall, the pronunciation of "more integrable" is characterized by its clear and distinct syllables.
The term "more integrable" refers to a concept within mathematics, specifically in the field of calculus and differential equations. Integration is the process of finding the antiderivative or integral of a given function, which involves calculating the area under the curve represented by the function.
When a function is described as "more integrable," it means that it is easier or more suitable for integration. In other words, a more integrable function is one that can be more efficiently integrated or has simpler integration properties compared to other functions.
The concept of integrability depends on various factors, such as the shape and behavior of the function, the presence of discontinuities or singularities, and certain mathematical properties. Some functions are considered to be more integrable due to their explicit form or specific characteristics that allow for straightforward integration techniques to be applied.
In practical terms, if a function is more integrable, it means that calculating its integral is more manageable and can be achieved using a wide range of integration methods, such as the fundamental theorem of calculus, substitution, integration by parts, or trigonometric identities.
Ultimately, the notion of "more integrable" expresses the relative ease or simplicity with which a function can be integrated, providing insight into the mathematical properties and behavior of the function.
The word "integrable" comes from the Latin verb "integrare" which means "to make whole" or "to complete". In mathematics, "integrable" refers to the property of a function that can be integrated or the ability to find an antiderivative. The word "more" in "more integrable" simply indicates a higher degree or extent of integrability.