Thread: How to find the area enclosed by two curves?

f(x) = 2x - x²

g(x) = 3 - 2x²


how do i find the area enclosed by two graphs?

thanks in advance!

Originally Posted by da_coolest

f(x) = 2x - x²

g(x) = 3 - 2x²


how do i find the area enclosed by two graphs?

thanks in advance!

the limits are the points where the two lines intersect

In this case:



Solve the quadratic to give x = 1, -3



If your answer is negative then ignore the minus sign/take the absolute value - it just means you took the smaller curve from the higher one