Find the area bounded by `f(x)=x-[x], x=5` and `x=8` and the x-axis

Find area bounded by y = f^(-1)(x), x = 4, x = 10 and the x -axis, given that the area bounded by y = f(x) , x = 2, x = 6 and the x -axis is 30 sq. units, where f(2) = 4 and f(6) = 10 , and that f(x) is an invertible function.

Find the area bounded by the curve f(x) =4-|x| and the x axis

Find the area of the region bounded by y ^(2) = 8x, x=2, x=4 and the x-axis in the first quadrant.

Find the area of the region bounded by (i) y=x^4 , x=1,x=5 and x-axis.

Find the area of the region bounded by x^(2)=8y , x-axis and the line x= 4

Find the area of the region bounded by x^(2)=8y , x-axis and the line x= 4

Find the area bounded by the curve y=4x-x^2 , the x-axis and the ordinates x=1 and x=3 .