 Hello, and welcome to the session I am Deepika here. Let's discuss the question which says, find the area of the region bounded by the curve y square is equal to x and the lines x is equal to 1, x is equal to 4 and the x axis. Now, let us first understand how to find the area A of the region between x axis coordinates x is equal to A and x is equal to B and the curve y is equal to fx is given by A is equal to integral from A to B y dx and this is equal to integral from A to B fx dx. So, this is the key idea behind our question. We will take the help of this key idea to solve the above questions in a Saddus edition. Of all, we will draw the figure and identify the region whose area is to be found out. Now, y square is equal to x is a parabola with vertex origin and its vertical about x axis also x is equal to 1 and x is equal to 4 are lines parallel to y axis. This shaded region, this shaded region is the region bounded by the curve y square is equal to x and the lines x is equal to 1 and x is equal to 4 and the x axis region by the curve y square is equal to x and the lines is equal to 1 and x is equal to 4 is given by integral from 1 to 4 as composed of large number of very thin vertical strips of height y and with this y dx shaded region between the x axis is equal to 1 and x is equal to 4 y square is equal to x from 1 to 4 y dx in the first quadrant only from 1 to 4 is equal to raised to power 3 by 2 now 4 raised to power 3 by 2 can be written as 2 raised to power 2 3 by 2 is 1 only equal to 2 by 3 is equal to 2 so the answer for the above question is 14 over 3 I hope the solution is clear to you. Bye and take care