# How do you find the area of the surface generated by rotating the curve about the y-axis #x=2t+1, y=4-t, 0<=t<=4#?

##### 1 Answer

Jul 17, 2017

First we will combine this 2 equation to find x in term of y and then we will calculate the area.

#### Explanation:

we plug this value into

this gives us the curve

graph{x=9-2y [-10, 10, -5, 5]}

and

the area generated is given by the integral:

because we rotate the curve about the y-axis

so