Question

find the area of this region using integrals.

y=x and y=x^2

Answer 1

draw a picture first
http://www.wolframalpha.com/input/?i=y%3Dx^2%2C+y%3Dx

Answer 2

@satellite73 quickly without any explanation, ha!!

Answer 3

y=x
to find the point of intersection,put the value of y in y=x^2
x^2=x
x^2-x=0
x(x-1)=0
x=0,1

\[Required area=\int\limits_{0}^{1} x dx-\int\limits_{0}^{1} x ^{2}dx\]
\[(area=\int\limits_{0}^{1}y dx)\]
calculate.