Draw a rough sketch of the curve `y=sqrt(x-1)` in the interval [1, 5] and find the area under the given curve and between the lines x = 1 and x = 5.

Answer

N/a

Explanation

Given equation of the curve is `y=sqrt(x-1).`
`rArry^(2)=x-1`

`:. "Area of shaded region," A =int_(1)^(5)(x-1)^(1//2)dx=[(2.(x-1)^(3//2))/3]_(1)^(5)`
`=[2/3 .(5-1)^(3//2)-0]=16/3" sq units"`