Ex 8.1, 1 - Chapter 8 Class 12 Application of Integrals

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Ex 8.1, 1 Find the area of the region bounded by the curve 2 = and the lines = 1, = 4 and the -axis. Let AB represent line =1 CD represent line =4 & CBOAD represent the curve 2 = We have to find area of BCFE Area of BCFE = 2 1 4 . So, we need to calculate 1 4 . We know that 2 = Taking square root on both sides = Since BCEF is in 1st Quadrant = Area of BCFE = 1 4 . = 1 4 . = 1 4 1 2 = 1 2 +1 1 2 +1 1 4 = 3 2 3 2 1 4 = 2 3 3 2 1 4 = 2 3 4 3 2 1 3 2 = 2 3 4 1 2 3 1 = 2 3 2 3 1 = 2 3 8 1 = 2 3 7 = 14 3 Thus Required Area = square units