SOLUTION: Find the bounded region between the graphs of: f(x) = x^2 and g(x) = sqrt(x) First thing about this which threw me off was knowing where the points were on the graph, I had to d

Algebra ->  Equations -> SOLUTION: Find the bounded region between the graphs of: f(x) = x^2 and g(x) = sqrt(x) First thing about this which threw me off was knowing where the points were on the graph, I had to d      Log On


   

Question 1002760: Find the bounded region between the graphs of: f(x) = x^2 and g(x) = sqrt(x)
First thing about this which threw me off was knowing where the points were on the graph, I had to desmos it to know where. Is there anyway of checking where the points intersect and therefore find the interval [0,1]
Work:
int%28x%5E3-sqrt%28x%29%29%2C+dx+%29 from [0,1]
then taking the antiderivativeI get
+%281%2F4%29x%5E4+-%282%2F3%29%28x%29%5E%283%2F2%29+

Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You wrote " f(x) = x^2" but then you had x^3 in the integral. So I'm confused what f(x) really is. Please repost. Thank you.