Find the area of the region bounded by the curve y^2=2y-x and y-axis.

Asked by sunil2791 | 10th Oct, 2017, 05:11: PM

Expert Answer:

begin mathsize 16px style straight y squared space equals space 2 straight y space minus space straight x space on space straight y space axis space hence space straight x equals 0
rightwards double arrow straight y squared space equals space 2 straight y
rightwards double arrow straight y squared space minus space 2 straight y space equals 0
rightwards double arrow straight y open parentheses straight y minus 2 close parentheses space equals space 0
straight y equals 0 space and space straight y equals 2
Integrating space over space straight x space equals space 2 straight y space minus space straight y squared space using space limits space straight y equals 0 space to space straight y equals 2.
we space get space 4 over 3 space sq. space unit end style

Answered by Sneha shidid | 19th Dec, 2017, 05:40: PM