Question

find the area of region bounded by the curve y=x2 and line y=4​

Answer 1

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Answer 2

Given : y=x² and the line y=4

To Find : area of a region bounded

Solution:

y =  x²

y = 4

=> x² = 4

=> x = ±2

=> y =  4

y =  x²

=> x = √y

Area =  $2 \times \int\limits^{4}_0 {\sqrt{y} } \, dy$

$2 \times \frac{y^{\frac{3}{2}}}{ \frac{3}{2} } ]_0^{4 }$

= (4/3) 8

= 32/3

= 10.67 sq units

area of a region bounded by the curve y=x² and the line y=4

is 10.67 sq units

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