Question

The area of the region bounded by the line y = 4 and the curve y = x² is ______. 

The area of the region bounded by the curve y = x² and the line y = 4 is ______.

विकल्प

• `32/3` square units

• 0 square unit

• 1 square unit

• 32 square units

• `64/3` square units

• `16/3` square units

• 64 square units

Answer 1

The area of the region bounded by the line y = 4 and the curve y = x² is `bbunderline(32/3 "square units")`.

Explanation:

`y = x^2`

`x = sqrt(y)`

∴ Area = `2int_0^4 sqrt(y) dy`

= `2[2/3 y^(3/2)]_0^4 = 4/3 [8 - 0] = 32/3` square units.