application of integrals 359 chapter 8 application of integrals vone should study mathematics because it is only through mathematics that nature can be conceived in harmonious form birkhoff v 8 ...
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...Application of integrals chapter vone should study mathematics because it is only through that nature can be conceived in harmonious form birkhoff v introduction geometry we have learnt formulae to calculate areas various geometrical figures including triangles rectangles trapezias and circles such are fundamental the applications many real life problems elementary allow us simple however they inadequate for calculating enclosed by curves shall need some concepts integral calculus previous studied find area bounded curve y f x ordinates a b axis while definite as limit sum here this specific under l cauchy between lines arcs parabolas ellipses standard forms also deal with finding above said how evaluate using theorem now consider easy intuitive way from fig think composed large number very thin vertical strips an arbitrary strip height width dx then da ydx where called which located at position within region specified value total result adding up across pqrsp symbolically express bda ...