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Example 3 - Find area bounded by y = x2 and line y = 4 - Examples

Example 3 - Chapter 8 Class 12 Application of Integrals - Part 2
Example 3 - Chapter 8 Class 12 Application of Integrals - Part 3

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Example 3 Find the area of the region bounded by the curve = 2 and the line =4 Given that y = 4 Let Line AB represent y = 4 Also, y = x2 x2 = y Let AOB represent x2 = y We have to find area of AOBA Area of AOBA = 2 Area BONB = 2 0 4 We know that 2 = = Since BONB is in first quadrant we use x = + Area of AOBA = 2 0 4 = 2 0 4 = 2 0 4 1 2 = 2 1 2 + 1 1 2 + 1 0 4 = 2 1 + 2 2 1 + 2 2 0 4 = 2 3 2 3 2 0 4 = 2.2 3 3 2 0 4 = 4 3 [(4) 3 2 0] = 4 3 ( 2 2 ) 3 2 = 4 3 23 =

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.