The area of the region bounded by y=x^2,...

The area of the region bounded by `y=x^2`, `y=[x+1]`, `x<=1` and `y`-axis is (A) `1/3` (B) `2/3` (C) `1` (D) `7/3`

Verified by Experts

`int_0^1(1-x^2)dx`
`|x-x^3/3|_0^1`
`1-1/3=2/3`.

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by y=x^2+1, y=x, x=0 and y=2 .

Find the area of the region bounded by y = x^2+1 , y= x, x= 0 and y = 2.

Find the area of the region bounded by y =x^(2)+1 ,y=x ,x=0 and y=2

The area of the region bounded by y=x-[x], y=[x] in [0, 2] is

The area of the region bounded by y = x^(2) and y = 4x , for x between 0 and 1 is equal to

Area of the region bounded by y=|x|andy=2 is

The area of the region bounded by y=x^(2),y=x+2,x=-1andx=2 is

The area of the region bounded by x=1, x=2, y=4x+1, y=e^(x) is

The area of the region bounded by y=x^(2)+2,y=-x,x=0 and x = 1 is