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add maths from cd ppsmi add maths from cd ppsmi pages utama posted by sahmozac category 0 comments introduction to integration posted by sahmozac my module introduction 1 intergartion is revised differentiation 2 integrsation 3 animation 4 aktivity sheet lesson plan category animation 1 comments common integral posted by sahmozac 1 2 3 category 1 comments what is integration posted by sahmozac integral from wikipedia the free encyclopedia jump to navigation search this article is about the concept of integrals in calculus for the set of numbers see integer for other uses see integral disambiguation topics in calculus fundamental theorem limits of functions continuity vector calculus matrix calculus mean value theorem differentiation product rule quotient rule chain rule change of variables implicit differentiation taylor s theorem related rates list of differentiation identities integration lists of integrals improper integrals integration by parts disks cylindrical shells substitution trigonometric substitution partial fractions changing order a definite integral of a function can be represented as the signed area of the region bounded by its graph integration is an important concept in mathematics specifically in the field of calculus and more broadly mathematical analysis given a function ƒ of a real variable x and an interval a b of the real line the integral is defined informally to be the signed area of the region in the xy plane bounded by the graph of ƒ the x axis and the vertical lines x a and x b the term integral may also refer to the notion of antiderivative a function f whose derivative is the given function f in this case it is called an indefinite integral while the integrals discussed in this article are termed definite integrals some authors maintain a distinction between antiderivatives and indefinite integrals the principles of integration were formulated independently by isaac newton and gottfried leibniz in the late seventeenth century through the fundamental theorem of calculus which they independently developed integration is connected with differentiation 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 integrals and derivatives became the basic tools of calculus with numerous applications in science and engineering a rigorous mathematical definition of the integral was given by bernhard riemann it is based on a limiting procedure which approximates the area of a curvilinear region by breaking the region into thin vertical slabs beginning in the nineteenth century more sophisticated notions of integral began to appear where the type of the function as well as the domain over which the integration is performed has been generalised category 0 comments home labels blog archive 2009 4 february 2 no title introduction to integration january 2 about me sahmozac i am a mathematics teacher working in sek men sains muzaffar syah melaka i am into this profession since 1987 the main aim of creating this blog is to share and find new strategies in the teaching learning mathematis this is a platform to share the views on teaching and learning mathematics view my complete profile blog archive 2009 4 february 2 no title introduction to integration january 2 followers copyright 2010 add maths from cd ppsmi all rights reserved blogger template by anshul dudeja wp theme by templatelite
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