In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a functionf of a realvariablex and an interval[a, b] of the real line, the definite integral
is defined informally as the signed area of the region in the xy-plane that is bounded by the graph of f, the x-axis and the vertical lines x = a and x = b. The area above the x-axis adds to the total and that below the x-axis subtracts from the total.
Roughly speaking, the operation of integration is the reverse of differentiation. For this reason, the term integral may also refer to the related notion of the antiderivative, a function F whose derivative is the given function f. In this case, it is called an indefinite integral and is written:
The integrals discussed in this article are those termed definite integrals. It is the fundamental theorem of calculus that connects differentiation with the definite integral: if f is a continuous real-valued function defined on a closed interval[a, b], then, once an antiderivative F of f is known, the definite integral of f over that interval is given by
Integration is the third studio album by American rapper Kellee Maize. It was released on November 11, 2011 and was recorded primarily in her home studio aka Nakturnal Studio. Its musical styles range from Reggae to Dubstep to Electro Pop. The content of the LP explores the idea of having a good balance between the dualities in human nature (i.e., Good & Evil). The album received positive reviews and launched her to:
- 2 million+ YouTube views
- 70,000+ Twitter and Facebook fans
- 200+ media mentions
- 400K+ free album downloads
- #1 on Amazon.com and #1 on Frostwire.com
Integration was downloaded over 160,000 within its first month of release. One reviewer at Frostclick said, “Although the album is more personal and infused with the artist’s spiritual perspective, it doesn't alienate listeners at all. Kellee manages to not only put her best foot forward but blinds and impresses as she does.”
The first single, “Hasta Abajo,” peaked at #7 on Jamendo.
Maize performed multiple tracks from the LP at the album’s release party in Pittsburgh at a local middle eastern inspired performance venue.