Maths for Engineers - 1

Problems On Applications To Area And Volume

Problems on Applications to Area and Volume-2:

6. Evaluate over the region between y = x2 and y = x.

Solution: The bounded curves y = x2 and y = x. The common point are given by solving the two equations.

We have ;

When x = 0, we have y = 0 and when x = 1, y = 1.

                                          


7. Evaluate where R is the region bounded by the x-axis, ordinates at x = 2a and x2 = 4ay

Solution: