CHAPTER_5_APPLICATIONS_OF_INTEGRATION - CHAPTER 5 APPLICATIONS OF INTEGRATION 1 Sketch the graph(if graph is not given AREA BETWEE N TWO CURVES

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1 CHAPTER 5 APPLICATIONS OF INTEGRATION RCMN_JSM|SEPT 2016 – JAN 2017 AREA BETWEEN TWO CURVESStep to find area using integration:1. Sketch the graph (if graph is not given).2. Find the boundary (upper limit and lower limit if not given). So that, we can find the ucf and lcf by substitute the value of x taken from the interval [a, b].Set up the integral.Evaluate the integral. the
2 CHAPTER 5 APPLICATIONS OF INTEGRATION RCMN_JSM|SEPT 2016 – JAN 2017 Area Between Curves (Formula II) the
3 CHAPTER 5 APPLICATIONS OF INTEGRATION AREA UNDER A CURVE (BETWEEN CURVE AND X – AXIS/ Y – AXIS) RCMN_JSM|SEPT 2016 – JAN 2017 b b
4 CHAPTER 5 APPLICATIONS OF INTEGRATION EXERCISE 1 a)Find the area bounded by the region y=x2and y=x.[3units2]b)Find the area bounded by the region enclosed by the parabolasy=x2andy=2xx2.[13units2]c)Find the area bounded by the region y=x2xand line y=0,andbounded on the sides by the linesx=0andx=2.[1unit2]d)Find the area of the region that is enclosed between the curves y=xand y=x+6from x=0andx=2.[3units2]e)Find the area of the region enclosed by y=x2+1and y=x+3.[2units2]f)Find the area of the region that is enclosed between the curves y=and y=x2and x- axis. [3units2]g)Find the area of the region that is enclosed between the curves y=and y=x2and x- axis integrating with respect to y.[102]h)Find the area of the region bounded by curve y2=x+1and the liney=x1. 1 2 34 9 x 10 x 3 units [ 9