Ex 8.1, 3 - Find area x2 = 4y, y = 2, y = 4 and y-axis - NCERT - Area bounded by curve and horizontal or vertical line

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  1. Chapter 8 Class 12 Application of Integrals
  2. Serial order wise
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Ex 8.1, 3 Find the area of the region bounded by 2= 4 , = 2 , 4 and the -axis in the first quadrant. Let AB represent line =2 CD represent line =4 and CBOAD represent the curve 2 =4 We have to find area of BCFE Area of BCFE = 2 4 We know that 2 =4 Taking square root on both sides = 4 = 2 Since, BCEF is in 1st Quadrant =2 Area of BCFE = 2 4 = 2 4 2 = 2 2 4 1 2 = 2 3 2 3 2 2 4 = 2 2 3 3 2 2 4 = 4 3 4 3 2 2 3 2 = 4 3 4 1 2 3 2 1 2 3 = 4 3 2 3 2 3 = 4 3 8 2 2 = 32 8 2 3 Thus , Area = square units

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.